What is the Greatest Common Factor of 22932 and 22952?

Greatest common factor (GCF) of 22932 and 22952 is 4.

GCF(22932,22952) = 4

We will now calculate the prime factors of 22932 and 22952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22932 and 22952.

How to find the GCF of 22932 and 22952?

We will first find the prime factorization of 22932 and 22952. After we will calculate the factors of 22932 and 22952 and find the biggest common factor number .

Step-1: Prime Factorization of 22932

Prime factors of 22932 are 2, 3, 7, 13. Prime factorization of 22932 in exponential form is:

22932 = 2² × 3² × 7² × 13¹

Step-2: 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-3: Factors of 22932

List of positive integer factors of 22932 that divides 22932 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 49, 52, 63, 78, 84, 91, 98, 117, 126, 147, 156, 182, 196, 234, 252, 273, 294, 364, 441, 468, 546, 588, 637, 819, 882, 1092, 1274, 1638, 1764, 1911, 2548, 3276, 3822, 5733, 7644, 11466

Step-4: Factors of 22952

List of positive integer factors of 22952 that divides 22932 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22932 and 22952. The biggest common factor number is the GCF number.
So the greatest common factor 22932 and 22952 is 4.

Also check out the Least Common Multiple of 22932 and 22952