What is the Greatest Common Factor of 77972 and 77976?

Greatest common factor (GCF) of 77972 and 77976 is 4.

GCF(77972,77976) = 4

We will now calculate the prime factors of 77972 and 77976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77972 and 77976.

How to find the GCF of 77972 and 77976?

We will first find the prime factorization of 77972 and 77976. After we will calculate the factors of 77972 and 77976 and find the biggest common factor number .

Step-1: Prime Factorization of 77972

Prime factors of 77972 are 2, 101, 193. Prime factorization of 77972 in exponential form is:

77972 = 2² × 101¹ × 193¹

Step-2: 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-3: Factors of 77972

List of positive integer factors of 77972 that divides 77972 without a remainder.

1, 2, 4, 101, 193, 202, 386, 404, 772, 19493, 38986

Step-4: Factors of 77976

List of positive integer factors of 77976 that divides 77972 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77972 and 77976. The biggest common factor number is the GCF number.
So the greatest common factor 77972 and 77976 is 4.

Also check out the Least Common Multiple of 77972 and 77976