What is the Greatest Common Factor of 63666 and 63675?

Greatest common factor (GCF) of 63666 and 63675 is 9.

GCF(63666,63675) = 9

We will now calculate the prime factors of 63666 and 63675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63666 and 63675.

How to find the GCF of 63666 and 63675?

We will first find the prime factorization of 63666 and 63675. After we will calculate the factors of 63666 and 63675 and find the biggest common factor number .

Step-1: Prime Factorization of 63666

Prime factors of 63666 are 2, 3, 131. Prime factorization of 63666 in exponential form is:

63666 = 2¹ × 3⁵ × 131¹

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 63666

List of positive integer factors of 63666 that divides 63666 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 131, 162, 243, 262, 393, 486, 786, 1179, 2358, 3537, 7074, 10611, 21222, 31833

Step-4: Factors of 63675

List of positive integer factors of 63675 that divides 63666 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 63666 and 63675. The biggest common factor number is the GCF number.
So the greatest common factor 63666 and 63675 is 9.

Also check out the Least Common Multiple of 63666 and 63675