What is the Greatest Common Factor of 76964 and 76980?

Greatest common factor (GCF) of 76964 and 76980 is 4.

GCF(76964,76980) = 4

We will now calculate the prime factors of 76964 and 76980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76964 and 76980.

How to find the GCF of 76964 and 76980?

We will first find the prime factorization of 76964 and 76980. After we will calculate the factors of 76964 and 76980 and find the biggest common factor number .

Step-1: Prime Factorization of 76964

Prime factors of 76964 are 2, 71, 271. Prime factorization of 76964 in exponential form is:

76964 = 2² × 71¹ × 271¹

Step-2: Prime Factorization of 76980

Prime factors of 76980 are 2, 3, 5, 1283. Prime factorization of 76980 in exponential form is:

76980 = 2² × 3¹ × 5¹ × 1283¹

Step-3: Factors of 76964

List of positive integer factors of 76964 that divides 76964 without a remainder.

1, 2, 4, 71, 142, 271, 284, 542, 1084, 19241, 38482

Step-4: Factors of 76980

List of positive integer factors of 76980 that divides 76964 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1283, 2566, 3849, 5132, 6415, 7698, 12830, 15396, 19245, 25660, 38490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76964 and 76980. The biggest common factor number is the GCF number.
So the greatest common factor 76964 and 76980 is 4.

Also check out the Least Common Multiple of 76964 and 76980