What is the Greatest Common Factor of 63315 and 63324?

Greatest common factor (GCF) of 63315 and 63324 is 9.

GCF(63315,63324) = 9

We will now calculate the prime factors of 63315 and 63324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63315 and 63324.

How to find the GCF of 63315 and 63324?

We will first find the prime factorization of 63315 and 63324. After we will calculate the factors of 63315 and 63324 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 63324

Prime factors of 63324 are 2, 3, 1759. Prime factorization of 63324 in exponential form is:

63324 = 2² × 3² × 1759¹

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 63324

List of positive integer factors of 63324 that divides 63315 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1759, 3518, 5277, 7036, 10554, 15831, 21108, 31662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63315 and 63324. The biggest common factor number is the GCF number.
So the greatest common factor 63315 and 63324 is 9.

Also check out the Least Common Multiple of 63315 and 63324