What is the Greatest Common Factor of 76644 and 76656?

Greatest common factor (GCF) of 76644 and 76656 is 12.

GCF(76644,76656) = 12

We will now calculate the prime factors of 76644 and 76656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76644 and 76656.

How to find the GCF of 76644 and 76656?

We will first find the prime factorization of 76644 and 76656. After we will calculate the factors of 76644 and 76656 and find the biggest common factor number .

Step-1: Prime Factorization of 76644

Prime factors of 76644 are 2, 3, 2129. Prime factorization of 76644 in exponential form is:

76644 = 2² × 3² × 2129¹

Step-2: Prime Factorization of 76656

Prime factors of 76656 are 2, 3, 1597. Prime factorization of 76656 in exponential form is:

76656 = 2⁴ × 3¹ × 1597¹

Step-3: Factors of 76644

List of positive integer factors of 76644 that divides 76644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2129, 4258, 6387, 8516, 12774, 19161, 25548, 38322

Step-4: Factors of 76656

List of positive integer factors of 76656 that divides 76644 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1597, 3194, 4791, 6388, 9582, 12776, 19164, 25552, 38328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76644 and 76656. The biggest common factor number is the GCF number.
So the greatest common factor 76644 and 76656 is 12.

Also check out the Least Common Multiple of 76644 and 76656