What is the Greatest Common Factor of 63132 and 63144?

Greatest common factor (GCF) of 63132 and 63144 is 12.

GCF(63132,63144) = 12

We will now calculate the prime factors of 63132 and 63144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63132 and 63144.

How to find the GCF of 63132 and 63144?

We will first find the prime factorization of 63132 and 63144. After we will calculate the factors of 63132 and 63144 and find the biggest common factor number .

Step-1: Prime Factorization of 63132

Prime factors of 63132 are 2, 3, 5261. Prime factorization of 63132 in exponential form is:

63132 = 2² × 3¹ × 5261¹

Step-2: 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-3: Factors of 63132

List of positive integer factors of 63132 that divides 63132 without a remainder.

1, 2, 3, 4, 6, 12, 5261, 10522, 15783, 21044, 31566

Step-4: Factors of 63144

List of positive integer factors of 63144 that divides 63132 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63132 and 63144. The biggest common factor number is the GCF number.
So the greatest common factor 63132 and 63144 is 12.

Also check out the Least Common Multiple of 63132 and 63144