What is the Greatest Common Factor of 63604 and 63612?

Greatest common factor (GCF) of 63604 and 63612 is 4.

GCF(63604,63612) = 4

We will now calculate the prime factors of 63604 and 63612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63604 and 63612.

How to find the GCF of 63604 and 63612?

We will first find the prime factorization of 63604 and 63612. After we will calculate the factors of 63604 and 63612 and find the biggest common factor number .

Step-1: Prime Factorization of 63604

Prime factors of 63604 are 2, 15901. Prime factorization of 63604 in exponential form is:

63604 = 2² × 15901¹

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 63604

List of positive integer factors of 63604 that divides 63604 without a remainder.

1, 2, 4, 15901, 31802

Step-4: Factors of 63612

List of positive integer factors of 63612 that divides 63604 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 63604 and 63612. The biggest common factor number is the GCF number.
So the greatest common factor 63604 and 63612 is 4.

Also check out the Least Common Multiple of 63604 and 63612