What is the Greatest Common Factor of 22952 and 22971?

Greatest common factor (GCF) of 22952 and 22971 is 19.

GCF(22952,22971) = 19

We will now calculate the prime factors of 22952 and 22971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22952 and 22971.

How to find the GCF of 22952 and 22971?

We will first find the prime factorization of 22952 and 22971. After we will calculate the factors of 22952 and 22971 and find the biggest common factor number .

Step-1: Prime Factorization of 22952

Prime factors of 22952 are 2, 19, 151. Prime factorization of 22952 in exponential form is:

22952 = 2³ × 19¹ × 151¹

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 22952

List of positive integer factors of 22952 that divides 22952 without a remainder.

1, 2, 4, 8, 19, 38, 76, 151, 152, 302, 604, 1208, 2869, 5738, 11476

Step-4: Factors of 22971

List of positive integer factors of 22971 that divides 22952 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 22952 and 22971. The biggest common factor number is the GCF number.
So the greatest common factor 22952 and 22971 is 19.

Also check out the Least Common Multiple of 22952 and 22971