What is the Greatest Common Factor of 76956 and 76972?

Greatest common factor (GCF) of 76956 and 76972 is 4.

GCF(76956,76972) = 4

We will now calculate the prime factors of 76956 and 76972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76956 and 76972.

How to find the GCF of 76956 and 76972?

We will first find the prime factorization of 76956 and 76972. After we will calculate the factors of 76956 and 76972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76972

Prime factors of 76972 are 2, 7, 2749. Prime factorization of 76972 in exponential form is:

76972 = 2² × 7¹ × 2749¹

Step-3: Factors of 76956

List of positive integer factors of 76956 that divides 76956 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

Step-4: Factors of 76972

List of positive integer factors of 76972 that divides 76956 without a remainder.

1, 2, 4, 7, 14, 28, 2749, 5498, 10996, 19243, 38486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76956 and 76972. The biggest common factor number is the GCF number.
So the greatest common factor 76956 and 76972 is 4.

Also check out the Least Common Multiple of 76956 and 76972