What is the Greatest Common Factor of 63126 and 63144?

Greatest common factor (GCF) of 63126 and 63144 is 18.

GCF(63126,63144) = 18

We will now calculate the prime factors of 63126 and 63144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63126 and 63144.

How to find the GCF of 63126 and 63144?

We will first find the prime factorization of 63126 and 63144. After we will calculate the factors of 63126 and 63144 and find the biggest common factor number .

Step-1: Prime Factorization of 63126

Prime factors of 63126 are 2, 3, 7, 167. Prime factorization of 63126 in exponential form is:

63126 = 2¹ × 3³ × 7¹ × 167¹

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 63126

List of positive integer factors of 63126 that divides 63126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 167, 189, 334, 378, 501, 1002, 1169, 1503, 2338, 3006, 3507, 4509, 7014, 9018, 10521, 21042, 31563

Step-4: Factors of 63144

List of positive integer factors of 63144 that divides 63126 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 63126 and 63144. The biggest common factor number is the GCF number.
So the greatest common factor 63126 and 63144 is 18.

Also check out the Least Common Multiple of 63126 and 63144