What is the Greatest Common Factor of 76944 and 76956?

Greatest common factor (GCF) of 76944 and 76956 is 12.

GCF(76944,76956) = 12

We will now calculate the prime factors of 76944 and 76956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76944 and 76956.

How to find the GCF of 76944 and 76956?

We will first find the prime factorization of 76944 and 76956. After we will calculate the factors of 76944 and 76956 and find the biggest common factor number .

Step-1: Prime Factorization of 76944

Prime factors of 76944 are 2, 3, 7, 229. Prime factorization of 76944 in exponential form is:

76944 = 2⁴ × 3¹ × 7¹ × 229¹

Step-2: Prime Factorization of 76956

Prime factors of 76956 are 2, 3, 11, 53. Prime factorization of 76956 in exponential form is:

76956 = 2² × 3¹ × 11² × 53¹

Step-3: Factors of 76944

List of positive integer factors of 76944 that divides 76944 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 229, 336, 458, 687, 916, 1374, 1603, 1832, 2748, 3206, 3664, 4809, 5496, 6412, 9618, 10992, 12824, 19236, 25648, 38472

Step-4: Factors of 76956

List of positive integer factors of 76956 that divides 76944 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 53, 66, 106, 121, 132, 159, 212, 242, 318, 363, 484, 583, 636, 726, 1166, 1452, 1749, 2332, 3498, 6413, 6996, 12826, 19239, 25652, 38478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76944 and 76956. The biggest common factor number is the GCF number.
So the greatest common factor 76944 and 76956 is 12.

Also check out the Least Common Multiple of 76944 and 76956