What is the Greatest Common Factor of 63285 and 63300?

Greatest common factor (GCF) of 63285 and 63300 is 15.

GCF(63285,63300) = 15

We will now calculate the prime factors of 63285 and 63300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63285 and 63300.

How to find the GCF of 63285 and 63300?

We will first find the prime factorization of 63285 and 63300. After we will calculate the factors of 63285 and 63300 and find the biggest common factor number .

Step-1: Prime Factorization of 63285

Prime factors of 63285 are 3, 5, 4219. Prime factorization of 63285 in exponential form is:

63285 = 3¹ × 5¹ × 4219¹

Step-2: Prime Factorization of 63300

Prime factors of 63300 are 2, 3, 5, 211. Prime factorization of 63300 in exponential form is:

63300 = 2² × 3¹ × 5² × 211¹

Step-3: Factors of 63285

List of positive integer factors of 63285 that divides 63285 without a remainder.

1, 3, 5, 15, 4219, 12657, 21095

Step-4: Factors of 63300

List of positive integer factors of 63300 that divides 63285 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 211, 300, 422, 633, 844, 1055, 1266, 2110, 2532, 3165, 4220, 5275, 6330, 10550, 12660, 15825, 21100, 31650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63285 and 63300. The biggest common factor number is the GCF number.
So the greatest common factor 63285 and 63300 is 15.

Also check out the Least Common Multiple of 63285 and 63300