What is the Greatest Common Factor of 22972 and 22976?

Greatest common factor (GCF) of 22972 and 22976 is 4.

GCF(22972,22976) = 4

We will now calculate the prime factors of 22972 and 22976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22972 and 22976.

How to find the GCF of 22972 and 22976?

We will first find the prime factorization of 22972 and 22976. After we will calculate the factors of 22972 and 22976 and find the biggest common factor number .

Step-1: Prime Factorization of 22972

Prime factors of 22972 are 2, 5743. Prime factorization of 22972 in exponential form is:

22972 = 2² × 5743¹

Step-2: Prime Factorization of 22976

Prime factors of 22976 are 2, 359. Prime factorization of 22976 in exponential form is:

22976 = 2⁶ × 359¹

Step-3: Factors of 22972

List of positive integer factors of 22972 that divides 22972 without a remainder.

1, 2, 4, 5743, 11486

Step-4: Factors of 22976

List of positive integer factors of 22976 that divides 22972 without a remainder.

1, 2, 4, 8, 16, 32, 64, 359, 718, 1436, 2872, 5744, 11488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22972 and 22976. The biggest common factor number is the GCF number.
So the greatest common factor 22972 and 22976 is 4.

Also check out the Least Common Multiple of 22972 and 22976