What is the Greatest Common Factor of 63144 and 63156?

Greatest common factor (GCF) of 63144 and 63156 is 12.

GCF(63144,63156) = 12

We will now calculate the prime factors of 63144 and 63156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63144 and 63156.

How to find the GCF of 63144 and 63156?

We will first find the prime factorization of 63144 and 63156. After we will calculate the factors of 63144 and 63156 and find the biggest common factor number .

Step-1: Prime Factorization of 63144

Prime factors of 63144 are 2, 3, 877. Prime factorization of 63144 in exponential form is:

63144 = 2³ × 3² × 877¹

Step-2: Prime Factorization of 63156

Prime factors of 63156 are 2, 3, 19, 277. Prime factorization of 63156 in exponential form is:

63156 = 2² × 3¹ × 19¹ × 277¹

Step-3: Factors of 63144

List of positive integer factors of 63144 that divides 63144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 877, 1754, 2631, 3508, 5262, 7016, 7893, 10524, 15786, 21048, 31572

Step-4: Factors of 63156

List of positive integer factors of 63156 that divides 63144 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 277, 554, 831, 1108, 1662, 3324, 5263, 10526, 15789, 21052, 31578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63144 and 63156. The biggest common factor number is the GCF number.
So the greatest common factor 63144 and 63156 is 12.

Also check out the Least Common Multiple of 63144 and 63156