What is the Greatest Common Factor of 63598 and 63612?

Greatest common factor (GCF) of 63598 and 63612 is 2.

GCF(63598,63612) = 2

We will now calculate the prime factors of 63598 and 63612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63598 and 63612.

How to find the GCF of 63598 and 63612?

We will first find the prime factorization of 63598 and 63612. After we will calculate the factors of 63598 and 63612 and find the biggest common factor number .

Step-1: Prime Factorization of 63598

Prime factors of 63598 are 2, 31799. Prime factorization of 63598 in exponential form is:

63598 = 2¹ × 31799¹

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 63598

List of positive integer factors of 63598 that divides 63598 without a remainder.

1, 2, 31799

Step-4: Factors of 63612

List of positive integer factors of 63612 that divides 63598 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 63598 and 63612. The biggest common factor number is the GCF number.
So the greatest common factor 63598 and 63612 is 2.

Also check out the Least Common Multiple of 63598 and 63612