What is the Greatest Common Factor of 31044 and 31056?

Greatest common factor (GCF) of 31044 and 31056 is 12.

GCF(31044,31056) = 12

We will now calculate the prime factors of 31044 and 31056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31044 and 31056.

How to find the GCF of 31044 and 31056?

We will first find the prime factorization of 31044 and 31056. After we will calculate the factors of 31044 and 31056 and find the biggest common factor number .

Step-1: Prime Factorization of 31044

Prime factors of 31044 are 2, 3, 13, 199. Prime factorization of 31044 in exponential form is:

31044 = 2² × 3¹ × 13¹ × 199¹

Step-2: Prime Factorization of 31056

Prime factors of 31056 are 2, 3, 647. Prime factorization of 31056 in exponential form is:

31056 = 2⁴ × 3¹ × 647¹

Step-3: Factors of 31044

List of positive integer factors of 31044 that divides 31044 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 199, 398, 597, 796, 1194, 2388, 2587, 5174, 7761, 10348, 15522

Step-4: Factors of 31056

List of positive integer factors of 31056 that divides 31044 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 647, 1294, 1941, 2588, 3882, 5176, 7764, 10352, 15528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31044 and 31056. The biggest common factor number is the GCF number.
So the greatest common factor 31044 and 31056 is 12.

Also check out the Least Common Multiple of 31044 and 31056