What is the Greatest Common Factor of 76974 and 76980?

Greatest common factor (GCF) of 76974 and 76980 is 6.

GCF(76974,76980) = 6

We will now calculate the prime factors of 76974 and 76980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76974 and 76980.

How to find the GCF of 76974 and 76980?

We will first find the prime factorization of 76974 and 76980. After we will calculate the factors of 76974 and 76980 and find the biggest common factor number .

Step-1: Prime Factorization of 76974

Prime factors of 76974 are 2, 3, 12829. Prime factorization of 76974 in exponential form is:

76974 = 2¹ × 3¹ × 12829¹

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 76974

List of positive integer factors of 76974 that divides 76974 without a remainder.

1, 2, 3, 6, 12829, 25658, 38487

Step-4: Factors of 76980

List of positive integer factors of 76980 that divides 76974 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 76974 and 76980. The biggest common factor number is the GCF number.
So the greatest common factor 76974 and 76980 is 6.

Also check out the Least Common Multiple of 76974 and 76980