What is the Greatest Common Factor of 67644 and 67656?

Greatest common factor (GCF) of 67644 and 67656 is 12.

GCF(67644,67656) = 12

We will now calculate the prime factors of 67644 and 67656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67644 and 67656.

How to find the GCF of 67644 and 67656?

We will first find the prime factorization of 67644 and 67656. After we will calculate the factors of 67644 and 67656 and find the biggest common factor number .

Step-1: Prime Factorization of 67644

Prime factors of 67644 are 2, 3, 1879. Prime factorization of 67644 in exponential form is:

67644 = 2² × 3² × 1879¹

Step-2: Prime Factorization of 67656

Prime factors of 67656 are 2, 3, 2819. Prime factorization of 67656 in exponential form is:

67656 = 2³ × 3¹ × 2819¹

Step-3: Factors of 67644

List of positive integer factors of 67644 that divides 67644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1879, 3758, 5637, 7516, 11274, 16911, 22548, 33822

Step-4: Factors of 67656

List of positive integer factors of 67656 that divides 67644 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2819, 5638, 8457, 11276, 16914, 22552, 33828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67644 and 67656. The biggest common factor number is the GCF number.
So the greatest common factor 67644 and 67656 is 12.

Also check out the Least Common Multiple of 67644 and 67656