What is the Greatest Common Factor of 63609 and 63627?

Greatest common factor (GCF) of 63609 and 63627 is 3.

GCF(63609,63627) = 3

We will now calculate the prime factors of 63609 and 63627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63609 and 63627.

How to find the GCF of 63609 and 63627?

We will first find the prime factorization of 63609 and 63627. After we will calculate the factors of 63609 and 63627 and find the biggest common factor number .

Step-1: Prime Factorization of 63609

Prime factors of 63609 are 3, 7, 13, 233. Prime factorization of 63609 in exponential form is:

63609 = 3¹ × 7¹ × 13¹ × 233¹

Step-2: Prime Factorization of 63627

Prime factors of 63627 are 3, 127, 167. Prime factorization of 63627 in exponential form is:

63627 = 3¹ × 127¹ × 167¹

Step-3: Factors of 63609

List of positive integer factors of 63609 that divides 63609 without a remainder.

1, 3, 7, 13, 21, 39, 91, 233, 273, 699, 1631, 3029, 4893, 9087, 21203

Step-4: Factors of 63627

List of positive integer factors of 63627 that divides 63609 without a remainder.

1, 3, 127, 167, 381, 501, 21209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63609 and 63627. The biggest common factor number is the GCF number.
So the greatest common factor 63609 and 63627 is 3.

Also check out the Least Common Multiple of 63609 and 63627