What is the Greatest Common Factor of 64665 and 64683?

Greatest common factor (GCF) of 64665 and 64683 is 9.

GCF(64665,64683) = 9

We will now calculate the prime factors of 64665 and 64683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64665 and 64683.

How to find the GCF of 64665 and 64683?

We will first find the prime factorization of 64665 and 64683. After we will calculate the factors of 64665 and 64683 and find the biggest common factor number .

Step-1: Prime Factorization of 64665

Prime factors of 64665 are 3, 5, 479. Prime factorization of 64665 in exponential form is:

64665 = 3³ × 5¹ × 479¹

Step-2: Prime Factorization of 64683

Prime factors of 64683 are 3, 7187. Prime factorization of 64683 in exponential form is:

64683 = 3² × 7187¹

Step-3: Factors of 64665

List of positive integer factors of 64665 that divides 64665 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 479, 1437, 2395, 4311, 7185, 12933, 21555

Step-4: Factors of 64683

List of positive integer factors of 64683 that divides 64665 without a remainder.

1, 3, 9, 7187, 21561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64665 and 64683. The biggest common factor number is the GCF number.
So the greatest common factor 64665 and 64683 is 9.

Also check out the Least Common Multiple of 64665 and 64683