What is the Greatest Common Factor of 64611 and 64629?

Greatest common factor (GCF) of 64611 and 64629 is 9.

GCF(64611,64629) = 9

We will now calculate the prime factors of 64611 and 64629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64611 and 64629.

How to find the GCF of 64611 and 64629?

We will first find the prime factorization of 64611 and 64629. After we will calculate the factors of 64611 and 64629 and find the biggest common factor number .

Step-1: Prime Factorization of 64611

Prime factors of 64611 are 3, 2393. Prime factorization of 64611 in exponential form is:

64611 = 3³ × 2393¹

Step-2: Prime Factorization of 64629

Prime factors of 64629 are 3, 43, 167. Prime factorization of 64629 in exponential form is:

64629 = 3² × 43¹ × 167¹

Step-3: Factors of 64611

List of positive integer factors of 64611 that divides 64611 without a remainder.

1, 3, 9, 27, 2393, 7179, 21537

Step-4: Factors of 64629

List of positive integer factors of 64629 that divides 64611 without a remainder.

1, 3, 9, 43, 129, 167, 387, 501, 1503, 7181, 21543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64611 and 64629. The biggest common factor number is the GCF number.
So the greatest common factor 64611 and 64629 is 9.

Also check out the Least Common Multiple of 64611 and 64629