What is the Greatest Common Factor of 77976 and 77988?

Greatest common factor (GCF) of 77976 and 77988 is 12.

GCF(77976,77988) = 12

We will now calculate the prime factors of 77976 and 77988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77976 and 77988.

How to find the GCF of 77976 and 77988?

We will first find the prime factorization of 77976 and 77988. After we will calculate the factors of 77976 and 77988 and find the biggest common factor number .

Step-1: Prime Factorization of 77976

Prime factors of 77976 are 2, 3, 19. Prime factorization of 77976 in exponential form is:

77976 = 2³ × 3³ × 19²

Step-2: Prime Factorization of 77988

Prime factors of 77988 are 2, 3, 67, 97. Prime factorization of 77988 in exponential form is:

77988 = 2² × 3¹ × 67¹ × 97¹

Step-3: Factors of 77976

List of positive integer factors of 77976 that divides 77976 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 27, 36, 38, 54, 57, 72, 76, 108, 114, 152, 171, 216, 228, 342, 361, 456, 513, 684, 722, 1026, 1083, 1368, 1444, 2052, 2166, 2888, 3249, 4104, 4332, 6498, 8664, 9747, 12996, 19494, 25992, 38988

Step-4: Factors of 77988

List of positive integer factors of 77988 that divides 77976 without a remainder.

1, 2, 3, 4, 6, 12, 67, 97, 134, 194, 201, 268, 291, 388, 402, 582, 804, 1164, 6499, 12998, 19497, 25996, 38994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77976 and 77988. The biggest common factor number is the GCF number.
So the greatest common factor 77976 and 77988 is 12.

Also check out the Least Common Multiple of 77976 and 77988