What is the Greatest Common Factor of 22964 and 22971?

Greatest common factor (GCF) of 22964 and 22971 is 1.

GCF(22964,22971) = 1

We will now calculate the prime factors of 22964 and 22971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22964 and 22971.

How to find the GCF of 22964 and 22971?

We will first find the prime factorization of 22964 and 22971. After we will calculate the factors of 22964 and 22971 and find the biggest common factor number .

Step-1: Prime Factorization of 22964

Prime factors of 22964 are 2, 5741. Prime factorization of 22964 in exponential form is:

22964 = 2² × 5741¹

Step-2: Prime Factorization of 22971

Prime factors of 22971 are 3, 13, 19, 31. Prime factorization of 22971 in exponential form is:

22971 = 3¹ × 13¹ × 19¹ × 31¹

Step-3: Factors of 22964

List of positive integer factors of 22964 that divides 22964 without a remainder.

1, 2, 4, 5741, 11482

Step-4: Factors of 22971

List of positive integer factors of 22971 that divides 22964 without a remainder.

1, 3, 13, 19, 31, 39, 57, 93, 247, 403, 589, 741, 1209, 1767, 7657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22964 and 22971. The biggest common factor number is the GCF number.
So the greatest common factor 22964 and 22971 is 1.

Also check out the Least Common Multiple of 22964 and 22971