What is the Greatest Common Factor of 22956 and 22968?

Greatest common factor (GCF) of 22956 and 22968 is 12.

GCF(22956,22968) = 12

We will now calculate the prime factors of 22956 and 22968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22956 and 22968.

How to find the GCF of 22956 and 22968?

We will first find the prime factorization of 22956 and 22968. After we will calculate the factors of 22956 and 22968 and find the biggest common factor number .

Step-1: Prime Factorization of 22956

Prime factors of 22956 are 2, 3, 1913. Prime factorization of 22956 in exponential form is:

22956 = 2² × 3¹ × 1913¹

Step-2: Prime Factorization of 22968

Prime factors of 22968 are 2, 3, 11, 29. Prime factorization of 22968 in exponential form is:

22968 = 2³ × 3² × 11¹ × 29¹

Step-3: Factors of 22956

List of positive integer factors of 22956 that divides 22956 without a remainder.

1, 2, 3, 4, 6, 12, 1913, 3826, 5739, 7652, 11478

Step-4: Factors of 22968

List of positive integer factors of 22968 that divides 22956 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 29, 33, 36, 44, 58, 66, 72, 87, 88, 99, 116, 132, 174, 198, 232, 261, 264, 319, 348, 396, 522, 638, 696, 792, 957, 1044, 1276, 1914, 2088, 2552, 2871, 3828, 5742, 7656, 11484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22956 and 22968. The biggest common factor number is the GCF number.
So the greatest common factor 22956 and 22968 is 12.

Also check out the Least Common Multiple of 22956 and 22968