What is the Greatest Common Factor of 88944 and 88956?

Greatest common factor (GCF) of 88944 and 88956 is 12.

GCF(88944,88956) = 12

We will now calculate the prime factors of 88944 and 88956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88944 and 88956.

How to find the GCF of 88944 and 88956?

We will first find the prime factorization of 88944 and 88956. After we will calculate the factors of 88944 and 88956 and find the biggest common factor number .

Step-1: Prime Factorization of 88944

Prime factors of 88944 are 2, 3, 17, 109. Prime factorization of 88944 in exponential form is:

88944 = 2⁴ × 3¹ × 17¹ × 109¹

Step-2: Prime Factorization of 88956

Prime factors of 88956 are 2, 3, 7, 353. Prime factorization of 88956 in exponential form is:

88956 = 2² × 3² × 7¹ × 353¹

Step-3: Factors of 88944

List of positive integer factors of 88944 that divides 88944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 109, 136, 204, 218, 272, 327, 408, 436, 654, 816, 872, 1308, 1744, 1853, 2616, 3706, 5232, 5559, 7412, 11118, 14824, 22236, 29648, 44472

Step-4: Factors of 88956

List of positive integer factors of 88956 that divides 88944 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 353, 706, 1059, 1412, 2118, 2471, 3177, 4236, 4942, 6354, 7413, 9884, 12708, 14826, 22239, 29652, 44478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88944 and 88956. The biggest common factor number is the GCF number.
So the greatest common factor 88944 and 88956 is 12.

Also check out the Least Common Multiple of 88944 and 88956