What is the Greatest Common Factor of 64665 and 64674?

Greatest common factor (GCF) of 64665 and 64674 is 9.

GCF(64665,64674) = 9

We will now calculate the prime factors of 64665 and 64674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64665 and 64674.

How to find the GCF of 64665 and 64674?

We will first find the prime factorization of 64665 and 64674. After we will calculate the factors of 64665 and 64674 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 64674

Prime factors of 64674 are 2, 3, 3593. Prime factorization of 64674 in exponential form is:

64674 = 2¹ × 3² × 3593¹

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 64674

List of positive integer factors of 64674 that divides 64665 without a remainder.

1, 2, 3, 6, 9, 18, 3593, 7186, 10779, 21558, 32337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64665 and 64674. The biggest common factor number is the GCF number.
So the greatest common factor 64665 and 64674 is 9.

Also check out the Least Common Multiple of 64665 and 64674