What is the Greatest Common Factor of 64655 and 64665?

Greatest common factor (GCF) of 64655 and 64665 is 5.

GCF(64655,64665) = 5

We will now calculate the prime factors of 64655 and 64665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64655 and 64665.

How to find the GCF of 64655 and 64665?

We will first find the prime factorization of 64655 and 64665. After we will calculate the factors of 64655 and 64665 and find the biggest common factor number .

Step-1: Prime Factorization of 64655

Prime factors of 64655 are 5, 67, 193. Prime factorization of 64655 in exponential form is:

64655 = 5¹ × 67¹ × 193¹

Step-2: 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-3: Factors of 64655

List of positive integer factors of 64655 that divides 64655 without a remainder.

1, 5, 67, 193, 335, 965, 12931

Step-4: Factors of 64665

List of positive integer factors of 64665 that divides 64655 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64655 and 64665. The biggest common factor number is the GCF number.
So the greatest common factor 64655 and 64665 is 5.

Also check out the Least Common Multiple of 64655 and 64665