What is the Greatest Common Factor of 76664 and 76678?

Greatest common factor (GCF) of 76664 and 76678 is 14.

GCF(76664,76678) = 14

We will now calculate the prime factors of 76664 and 76678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76664 and 76678.

How to find the GCF of 76664 and 76678?

We will first find the prime factorization of 76664 and 76678. After we will calculate the factors of 76664 and 76678 and find the biggest common factor number .

Step-1: Prime Factorization of 76664

Prime factors of 76664 are 2, 7, 37. Prime factorization of 76664 in exponential form is:

76664 = 2³ × 7¹ × 37²

Step-2: Prime Factorization of 76678

Prime factors of 76678 are 2, 7, 5477. Prime factorization of 76678 in exponential form is:

76678 = 2¹ × 7¹ × 5477¹

Step-3: Factors of 76664

List of positive integer factors of 76664 that divides 76664 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 1369, 2072, 2738, 5476, 9583, 10952, 19166, 38332

Step-4: Factors of 76678

List of positive integer factors of 76678 that divides 76664 without a remainder.

1, 2, 7, 14, 5477, 10954, 38339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76664 and 76678. The biggest common factor number is the GCF number.
So the greatest common factor 76664 and 76678 is 14.

Also check out the Least Common Multiple of 76664 and 76678