What is the Greatest Common Factor of 64665 and 64677?

Greatest common factor (GCF) of 64665 and 64677 is 3.

GCF(64665,64677) = 3

We will now calculate the prime factors of 64665 and 64677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64665 and 64677.

How to find the GCF of 64665 and 64677?

We will first find the prime factorization of 64665 and 64677. After we will calculate the factors of 64665 and 64677 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 64677

Prime factors of 64677 are 3, 21559. Prime factorization of 64677 in exponential form is:

64677 = 3¹ × 21559¹

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 64677

List of positive integer factors of 64677 that divides 64665 without a remainder.

1, 3, 21559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64665 and 64677. The biggest common factor number is the GCF number.
So the greatest common factor 64665 and 64677 is 3.

Also check out the Least Common Multiple of 64665 and 64677