What is the Greatest Common Factor of 76968 and 76974?

Greatest common factor (GCF) of 76968 and 76974 is 6.

GCF(76968,76974) = 6

We will now calculate the prime factors of 76968 and 76974, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76968 and 76974.

How to find the GCF of 76968 and 76974?

We will first find the prime factorization of 76968 and 76974. After we will calculate the factors of 76968 and 76974 and find the biggest common factor number .

Step-1: Prime Factorization of 76968

Prime factors of 76968 are 2, 3, 1069. Prime factorization of 76968 in exponential form is:

76968 = 2³ × 3² × 1069¹

Step-2: 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-3: Factors of 76968

List of positive integer factors of 76968 that divides 76968 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1069, 2138, 3207, 4276, 6414, 8552, 9621, 12828, 19242, 25656, 38484

Step-4: Factors of 76974

List of positive integer factors of 76974 that divides 76968 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76968 and 76974. The biggest common factor number is the GCF number.
So the greatest common factor 76968 and 76974 is 6.

Also check out the Least Common Multiple of 76968 and 76974