What is the Greatest Common Factor of 22136 and 22144?

Greatest common factor (GCF) of 22136 and 22144 is 8.

GCF(22136,22144) = 8

We will now calculate the prime factors of 22136 and 22144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22136 and 22144.

How to find the GCF of 22136 and 22144?

We will first find the prime factorization of 22136 and 22144. After we will calculate the factors of 22136 and 22144 and find the biggest common factor number .

Step-1: Prime Factorization of 22136

Prime factors of 22136 are 2, 2767. Prime factorization of 22136 in exponential form is:

22136 = 2³ × 2767¹

Step-2: Prime Factorization of 22144

Prime factors of 22144 are 2, 173. Prime factorization of 22144 in exponential form is:

22144 = 2⁷ × 173¹

Step-3: Factors of 22136

List of positive integer factors of 22136 that divides 22136 without a remainder.

1, 2, 4, 8, 2767, 5534, 11068

Step-4: Factors of 22144

List of positive integer factors of 22144 that divides 22136 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 173, 346, 692, 1384, 2768, 5536, 11072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22136 and 22144. The biggest common factor number is the GCF number.
So the greatest common factor 22136 and 22144 is 8.

Also check out the Least Common Multiple of 22136 and 22144