What is the Greatest Common Factor of 63675 and 63684?

Greatest common factor (GCF) of 63675 and 63684 is 9.

GCF(63675,63684) = 9

We will now calculate the prime factors of 63675 and 63684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63675 and 63684.

How to find the GCF of 63675 and 63684?

We will first find the prime factorization of 63675 and 63684. After we will calculate the factors of 63675 and 63684 and find the biggest common factor number .

Step-1: Prime Factorization of 63675

Prime factors of 63675 are 3, 5, 283. Prime factorization of 63675 in exponential form is:

63675 = 3² × 5² × 283¹

Step-2: Prime Factorization of 63684

Prime factors of 63684 are 2, 3, 29, 61. Prime factorization of 63684 in exponential form is:

63684 = 2² × 3² × 29¹ × 61¹

Step-3: Factors of 63675

List of positive integer factors of 63675 that divides 63675 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 283, 849, 1415, 2547, 4245, 7075, 12735, 21225

Step-4: Factors of 63684

List of positive integer factors of 63684 that divides 63675 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 61, 87, 116, 122, 174, 183, 244, 261, 348, 366, 522, 549, 732, 1044, 1098, 1769, 2196, 3538, 5307, 7076, 10614, 15921, 21228, 31842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63675 and 63684. The biggest common factor number is the GCF number.
So the greatest common factor 63675 and 63684 is 9.

Also check out the Least Common Multiple of 63675 and 63684