What is the Greatest Common Factor of 31644 and 31656?

Greatest common factor (GCF) of 31644 and 31656 is 12.

GCF(31644,31656) = 12

We will now calculate the prime factors of 31644 and 31656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31644 and 31656.

How to find the GCF of 31644 and 31656?

We will first find the prime factorization of 31644 and 31656. After we will calculate the factors of 31644 and 31656 and find the biggest common factor number .

Step-1: Prime Factorization of 31644

Prime factors of 31644 are 2, 3, 293. Prime factorization of 31644 in exponential form is:

31644 = 2² × 3³ × 293¹

Step-2: Prime Factorization of 31656

Prime factors of 31656 are 2, 3, 1319. Prime factorization of 31656 in exponential form is:

31656 = 2³ × 3¹ × 1319¹

Step-3: Factors of 31644

List of positive integer factors of 31644 that divides 31644 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 293, 586, 879, 1172, 1758, 2637, 3516, 5274, 7911, 10548, 15822

Step-4: Factors of 31656

List of positive integer factors of 31656 that divides 31644 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1319, 2638, 3957, 5276, 7914, 10552, 15828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31644 and 31656. The biggest common factor number is the GCF number.
So the greatest common factor 31644 and 31656 is 12.

Also check out the Least Common Multiple of 31644 and 31656