What is the Greatest Common Factor of 63315 and 63320?

Greatest common factor (GCF) of 63315 and 63320 is 5.

GCF(63315,63320) = 5

We will now calculate the prime factors of 63315 and 63320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63315 and 63320.

How to find the GCF of 63315 and 63320?

We will first find the prime factorization of 63315 and 63320. After we will calculate the factors of 63315 and 63320 and find the biggest common factor number .

Step-1: Prime Factorization of 63315

Prime factors of 63315 are 3, 5, 7, 67. Prime factorization of 63315 in exponential form is:

63315 = 3³ × 5¹ × 7¹ × 67¹

Step-2: Prime Factorization of 63320

Prime factors of 63320 are 2, 5, 1583. Prime factorization of 63320 in exponential form is:

63320 = 2³ × 5¹ × 1583¹

Step-3: Factors of 63315

List of positive integer factors of 63315 that divides 63315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 67, 105, 135, 189, 201, 315, 335, 469, 603, 945, 1005, 1407, 1809, 2345, 3015, 4221, 7035, 9045, 12663, 21105

Step-4: Factors of 63320

List of positive integer factors of 63320 that divides 63315 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1583, 3166, 6332, 7915, 12664, 15830, 31660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63315 and 63320. The biggest common factor number is the GCF number.
So the greatest common factor 63315 and 63320 is 5.

Also check out the Least Common Multiple of 63315 and 63320