What is the Greatest Common Factor of 63885 and 63900?

Greatest common factor (GCF) of 63885 and 63900 is 15.

GCF(63885,63900) = 15

We will now calculate the prime factors of 63885 and 63900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63885 and 63900.

How to find the GCF of 63885 and 63900?

We will first find the prime factorization of 63885 and 63900. After we will calculate the factors of 63885 and 63900 and find the biggest common factor number .

Step-1: Prime Factorization of 63885

Prime factors of 63885 are 3, 5, 4259. Prime factorization of 63885 in exponential form is:

63885 = 3¹ × 5¹ × 4259¹

Step-2: 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-3: Factors of 63885

List of positive integer factors of 63885 that divides 63885 without a remainder.

1, 3, 5, 15, 4259, 12777, 21295

Step-4: Factors of 63900

List of positive integer factors of 63900 that divides 63885 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63885 and 63900. The biggest common factor number is the GCF number.
So the greatest common factor 63885 and 63900 is 15.

Also check out the Least Common Multiple of 63885 and 63900