What is the Greatest Common Factor of 77964 and 77972?

Greatest common factor (GCF) of 77964 and 77972 is 4.

GCF(77964,77972) = 4

We will now calculate the prime factors of 77964 and 77972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77964 and 77972.

How to find the GCF of 77964 and 77972?

We will first find the prime factorization of 77964 and 77972. After we will calculate the factors of 77964 and 77972 and find the biggest common factor number .

Step-1: Prime Factorization of 77964

Prime factors of 77964 are 2, 3, 73, 89. Prime factorization of 77964 in exponential form is:

77964 = 2² × 3¹ × 73¹ × 89¹

Step-2: 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-3: Factors of 77964

List of positive integer factors of 77964 that divides 77964 without a remainder.

1, 2, 3, 4, 6, 12, 73, 89, 146, 178, 219, 267, 292, 356, 438, 534, 876, 1068, 6497, 12994, 19491, 25988, 38982

Step-4: Factors of 77972

List of positive integer factors of 77972 that divides 77964 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77964 and 77972. The biggest common factor number is the GCF number.
So the greatest common factor 77964 and 77972 is 4.

Also check out the Least Common Multiple of 77964 and 77972