What is the Greatest Common Factor of 76714 and 76728?

Greatest common factor (GCF) of 76714 and 76728 is 2.

GCF(76714,76728) = 2

We will now calculate the prime factors of 76714 and 76728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76714 and 76728.

How to find the GCF of 76714 and 76728?

We will first find the prime factorization of 76714 and 76728. After we will calculate the factors of 76714 and 76728 and find the biggest common factor number .

Step-1: Prime Factorization of 76714

Prime factors of 76714 are 2, 11, 317. Prime factorization of 76714 in exponential form is:

76714 = 2¹ × 11² × 317¹

Step-2: Prime Factorization of 76728

Prime factors of 76728 are 2, 3, 23, 139. Prime factorization of 76728 in exponential form is:

76728 = 2³ × 3¹ × 23¹ × 139¹

Step-3: Factors of 76714

List of positive integer factors of 76714 that divides 76714 without a remainder.

1, 2, 11, 22, 121, 242, 317, 634, 3487, 6974, 38357

Step-4: Factors of 76728

List of positive integer factors of 76728 that divides 76714 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 139, 184, 276, 278, 417, 552, 556, 834, 1112, 1668, 3197, 3336, 6394, 9591, 12788, 19182, 25576, 38364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76714 and 76728. The biggest common factor number is the GCF number.
So the greatest common factor 76714 and 76728 is 2.

Also check out the Least Common Multiple of 76714 and 76728