Pokémon GO Combat Power: Ultimate Guide

Combat Power (CP) is a numerical value assigned to each Pokémon that describes the Pokémon’s strength. Combat Power was originally defined by Niantic as “how well a Pokémon can perform in Battle”, but as it will be shown in this article, that is not always the case.

Combat Power grows as you power up your Pokémon, increasing their level. Combat Power depends on your Pokémon species, their Individual Values (IVs), and the level they are at.

There are some additional things which can influence CP, such as Best Buddy status with a particular Pokémon.

How is Combat Power Calculated in Pokémon GO

Each Pokémon’s CP is just calculated by the CP formula as a numerical value depending on the Pokémon’s:

  • Pokémon base Attack stat (and Attack IVs)
  • Pokémon base Defense stat (and Defense IVs)
  • Pokémon base Stamina stat (and Stamina IVs)
  • Pokémon Level
  • A hidden CP Multiplier which scales with Pokémon level

You can find out Pokémon base stats on our Pokémon GO database, where we list base Attack, Defense, and Stamina for each Pokémon species. Every Pokémon species has different base stats.

And what about Individual Values (IVs)? Individual Values are different for every Pokémon, even for the ones which belong to the same specie. Two Pikachu can be different despite having same base stats, as they have different IVs!

However, not all of these factors have the same influence in the CP formula. If you ever heard that the Attack stat was the most important one, it is simply because it has the greatest influence in the CP formula.

In addition to these values, the formula depends on a Combat Power Multiplier which are assigned for every level your Pokémon can reach. This number is the scaling factor that describes how fast your Pokémon’s CP raises in accordance to their level.

Let’s see how the CP formula looks like.

Pokémon GO Combat Power Formula

This formula calculates a Pokémon’s Combat Power (CP) in Pokémon GO. CP is a measure of a Pokémon’s strength in battles.

combatPower = FLOOR(
(
    (atk + atkIV)               # Total Attack
    * SQRT(def + defIV)         # Square root of total Defense
    * SQRT(sta + staIV)         # Square root of total Stamina
    * (CPM_AT_LEVEL(level) ^ 2) # CP multiplier squared
) / 10                          # Divide by 10
)

Formula inputs

The CP formula works by manipulating base stats of the Pokémon and individual bonus stats (IVs) in accordance to their level:

  • atk: Base Attack stat of the Pokémon 
  • atkIV: Individual Value (IV) bonus for Attack
  • def: Base Defense stat of the Pokémon
  • defIV: Individual Value (IV) bonus for Defense
  • sta: Base Stamina stat of the Pokémon
  • staIV: Individual Value (IV) bonus for Stamina
  • level: The Pokémon’s current level
  • CPM_AT_LEVEL(level): A function that returns a multiplier (CPM) for the given level

Steps to calculate

  1. Add the base stat and its corresponding IV for Attack, Defense, and Stamina.
  2. Take the square root of the Defense and Stamina stats (including IVs).
  3. Calculate the CP multiplier for the given level using CPM_AT_LEVEL.
  4. Multiply the following expressions:
    • (Attack stat including IV)
    • (Square root of Defense stat including IV)
    • (Square root of Stamina stat including IV)
    • (The square of the CP multiplier)
  5. Divide the result by 10.
  6. Round down the result to the nearest whole number (using Math.floor).

As you can see, the formula depends on the CPM factor, which is hidden in the game’s files. We, and other members of the Pokémon GO community, have managed to extract the Pokémon GO CPM table.

Pokémon GO CPM Table

LVL Scalar LVL Scalar LVL Scalar LVL Scalar LVL Scalar
1.0 0.094000000 11.0 0.443107550 21.0 0.612157290 31.0 0.737769480 41.0 0.795300010
1.5 0.135137432 11.5 0.453059958 21.5 0.619399365 31.5 0.740785574 41.5 0.79780392
2.0 0.166397870 12.0 0.462798390 22.0 0.626567130 32.0 0.743789430 42.0 0.800300010
2.5 0.192650919 12.5 0.472336083 22.5 0.633644533 32.5 0.746781211 42.5 0.80280389
3.0 0.215732470 13.0 0.481684950 23.0 0.640652950 33.0 0.749761040 43.0 0.805300010
3.5 0.236572661 13.5 0.490855800 23.5 0.6475809666 33.5 0.752729087 43.5 0.80780387
4.0 0.255720050 14.0 0.499858440 24.0 0.654435630 34.0 0.755685510 44.0 0.810300010
4.5 0.273530381 14.5 0.508701765 24.5 0.661214806 34.5 0.758630378 44.5 0.81280384
5.0 0.290249880 15.0 0.517393950 25.0 0.667934000 35.0 0.761563840 45.0 0.815300010
5.5 0.306057377 15.5 0.525942511 25.5 0.674577537 35.5 0.764486065 45.5 0.81780382
6.0 0.321087600 16.0 0.534354330 26.0 0.681164920 36.0 0.767397170 46.0 0.820300010
6.5 0.335445036 16.5 0.542635767 26.5 0.687680648 36.5 0.770297266 46.5 0.8228038
7.0 0.349212680 17.0 0.550792690 27.0 0.694143650 37.0 0.773186500 47.0 0.825300010
7.5 0.362457751 17.5 0.558830576 27.5 0.700538673 37.5 0.776064962 47.5 0.82780378
8.0 0.375235590 18.0 0.566754520 28.0 0.706884210 38.0 0.778932750 48.0 0.830300010
8.5 0.387592406 18.5 0.574569153 28.5 0.713164996 38.5 0.781790055 48.5 0.83280375
9.0 0.399567280 19.0 0.582278910 29.0 0.719399090 39.0 0.784636970 49.0 0.835300010
9.5 0.411193551 19.5 0.589887917 29.5 0.725571552 39.5 0.787473578 49.5 0.83780373
10.0 0.422500010 20.0 0.597400010 30.0 0.731700000 40.0 0.790300010 50.0 0.840300010
10.5 0.432926419 20.5 0.604818814 30.5 0.734741009 40.5 0.79280394 50.5 0.84280371
51.0? 0.845300010

How is the CP gain for each power up determined?

Power Up Costs in Pokémon GO
Power Up Costs in Pokémon GO

The CP gain can also be calculated for each power up. Based on several attempts with different CPM values, a rule of thumb formula was defined for each range of levels. Keep in mind that values obtained as a result should be rounded down too.

Pokémon level CP gain per power up
1-10 CP * 0.00445946079 / CPM^2
10-20 CP * 0.008919025675 / CPM^2
20-30 CP * 0.008924905903 / CPM^2
30-40 CP * 0.00445946079 / CPM^2

From these formulas it can be deduced that from levels 30-40 the CP gain per power up will be significantly lower if compared to the previous level ranges, as you have probably seen in the game when you decided to power up a Pokémon further than level 30.

The resources needed to power up that Pokémon, however, will significantly increase.

Therefore, the player should really consider whether it is necessary or not to power up a Pokémon further than level 30.

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Author & tags

Kratos
Kratos
Pokémon fan since 2000. Played every single game without exception. I'm an engineer, a tech lover and also a big sports fan. Science is my religion :)

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