What is the Greatest Common Factor of 63612 and 63631?

Greatest common factor (GCF) of 63612 and 63631 is 19.

GCF(63612,63631) = 19

We will now calculate the prime factors of 63612 and 63631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63612 and 63631.

How to find the GCF of 63612 and 63631?

We will first find the prime factorization of 63612 and 63631. After we will calculate the factors of 63612 and 63631 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63631

Prime factors of 63631 are 17, 19, 197. Prime factorization of 63631 in exponential form is:

63631 = 17¹ × 19¹ × 197¹

Step-3: Factors of 63612

List of positive integer factors of 63612 that divides 63612 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

Step-4: Factors of 63631

List of positive integer factors of 63631 that divides 63612 without a remainder.

1, 17, 19, 197, 323, 3349, 3743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63612 and 63631. The biggest common factor number is the GCF number.
So the greatest common factor 63612 and 63631 is 19.

Also check out the Least Common Multiple of 63612 and 63631