What is the Greatest Common Factor of 76974 and 76982?

Greatest common factor (GCF) of 76974 and 76982 is 2.

GCF(76974,76982) = 2

We will now calculate the prime factors of 76974 and 76982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76974 and 76982.

How to find the GCF of 76974 and 76982?

We will first find the prime factorization of 76974 and 76982. After we will calculate the factors of 76974 and 76982 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 76982

Prime factors of 76982 are 2, 61, 631. Prime factorization of 76982 in exponential form is:

76982 = 2¹ × 61¹ × 631¹

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 76982

List of positive integer factors of 76982 that divides 76974 without a remainder.

1, 2, 61, 122, 631, 1262, 38491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76974 and 76982. The biggest common factor number is the GCF number.
So the greatest common factor 76974 and 76982 is 2.

Also check out the Least Common Multiple of 76974 and 76982