What is the Greatest Common Factor of 63600 and 63612?

Greatest common factor (GCF) of 63600 and 63612 is 12.

GCF(63600,63612) = 12

We will now calculate the prime factors of 63600 and 63612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63600 and 63612.

How to find the GCF of 63600 and 63612?

We will first find the prime factorization of 63600 and 63612. After we will calculate the factors of 63600 and 63612 and find the biggest common factor number .

Step-1: Prime Factorization of 63600

Prime factors of 63600 are 2, 3, 5, 53. Prime factorization of 63600 in exponential form is:

63600 = 2⁴ × 3¹ × 5² × 53¹

Step-2: Prime Factorization of 63612

Prime factors of 63612 are 2, 3, 19, 31. Prime factorization of 63612 in exponential form is:

63612 = 2² × 3³ × 19¹ × 31¹

Step-3: Factors of 63600

List of positive integer factors of 63600 that divides 63600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 53, 60, 75, 80, 100, 106, 120, 150, 159, 200, 212, 240, 265, 300, 318, 400, 424, 530, 600, 636, 795, 848, 1060, 1200, 1272, 1325, 1590, 2120, 2544, 2650, 3180, 3975, 4240, 5300, 6360, 7950, 10600, 12720, 15900, 21200, 31800

Step-4: Factors of 63612

List of positive integer factors of 63612 that divides 63600 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 27, 31, 36, 38, 54, 57, 62, 76, 93, 108, 114, 124, 171, 186, 228, 279, 342, 372, 513, 558, 589, 684, 837, 1026, 1116, 1178, 1674, 1767, 2052, 2356, 3348, 3534, 5301, 7068, 10602, 15903, 21204, 31806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63600 and 63612. The biggest common factor number is the GCF number.
So the greatest common factor 63600 and 63612 is 12.

Also check out the Least Common Multiple of 63600 and 63612