What is the Greatest Common Factor of 64641 and 64659?

Greatest common factor (GCF) of 64641 and 64659 is 3.

GCF(64641,64659) = 3

We will now calculate the prime factors of 64641 and 64659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64641 and 64659.

How to find the GCF of 64641 and 64659?

We will first find the prime factorization of 64641 and 64659. After we will calculate the factors of 64641 and 64659 and find the biggest common factor number .

Step-1: Prime Factorization of 64641

Prime factors of 64641 are 3, 29, 743. Prime factorization of 64641 in exponential form is:

64641 = 3¹ × 29¹ × 743¹

Step-2: Prime Factorization of 64659

Prime factors of 64659 are 3, 7, 3079. Prime factorization of 64659 in exponential form is:

64659 = 3¹ × 7¹ × 3079¹

Step-3: Factors of 64641

List of positive integer factors of 64641 that divides 64641 without a remainder.

1, 3, 29, 87, 743, 2229, 21547

Step-4: Factors of 64659

List of positive integer factors of 64659 that divides 64641 without a remainder.

1, 3, 7, 21, 3079, 9237, 21553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64641 and 64659. The biggest common factor number is the GCF number.
So the greatest common factor 64641 and 64659 is 3.

Also check out the Least Common Multiple of 64641 and 64659