What is the Greatest Common Factor of 63900 and 63915?

Greatest common factor (GCF) of 63900 and 63915 is 15.

GCF(63900,63915) = 15

We will now calculate the prime factors of 63900 and 63915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63900 and 63915.

How to find the GCF of 63900 and 63915?

We will first find the prime factorization of 63900 and 63915. After we will calculate the factors of 63900 and 63915 and find the biggest common factor number .

Step-1: Prime Factorization of 63900

Prime factors of 63900 are 2, 3, 5, 71. Prime factorization of 63900 in exponential form is:

63900 = 2² × 3² × 5² × 71¹

Step-2: Prime Factorization of 63915

Prime factors of 63915 are 3, 5, 4261. Prime factorization of 63915 in exponential form is:

63915 = 3¹ × 5¹ × 4261¹

Step-3: Factors of 63900

List of positive integer factors of 63900 that divides 63900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 71, 75, 90, 100, 142, 150, 180, 213, 225, 284, 300, 355, 426, 450, 639, 710, 852, 900, 1065, 1278, 1420, 1775, 2130, 2556, 3195, 3550, 4260, 5325, 6390, 7100, 10650, 12780, 15975, 21300, 31950

Step-4: Factors of 63915

List of positive integer factors of 63915 that divides 63900 without a remainder.

1, 3, 5, 15, 4261, 12783, 21305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63900 and 63915. The biggest common factor number is the GCF number.
So the greatest common factor 63900 and 63915 is 15.

Also check out the Least Common Multiple of 63900 and 63915