What is the Greatest Common Factor of 63657 and 63675?

Greatest common factor (GCF) of 63657 and 63675 is 9.

GCF(63657,63675) = 9

We will now calculate the prime factors of 63657 and 63675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63657 and 63675.

How to find the GCF of 63657 and 63675?

We will first find the prime factorization of 63657 and 63675. After we will calculate the factors of 63657 and 63675 and find the biggest common factor number .

Step-1: Prime Factorization of 63657

Prime factors of 63657 are 3, 11, 643. Prime factorization of 63657 in exponential form is:

63657 = 3² × 11¹ × 643¹

Step-2: 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-3: Factors of 63657

List of positive integer factors of 63657 that divides 63657 without a remainder.

1, 3, 9, 11, 33, 99, 643, 1929, 5787, 7073, 21219

Step-4: Factors of 63675

List of positive integer factors of 63675 that divides 63657 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63657 and 63675. The biggest common factor number is the GCF number.
So the greatest common factor 63657 and 63675 is 9.

Also check out the Least Common Multiple of 63657 and 63675