What is the Greatest Common Factor of 64635 and 64655?

Greatest common factor (GCF) of 64635 and 64655 is 5.

GCF(64635,64655) = 5

We will now calculate the prime factors of 64635 and 64655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64635 and 64655.

How to find the GCF of 64635 and 64655?

We will first find the prime factorization of 64635 and 64655. After we will calculate the factors of 64635 and 64655 and find the biggest common factor number .

Step-1: Prime Factorization of 64635

Prime factors of 64635 are 3, 5, 31, 139. Prime factorization of 64635 in exponential form is:

64635 = 3¹ × 5¹ × 31¹ × 139¹

Step-2: 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-3: Factors of 64635

List of positive integer factors of 64635 that divides 64635 without a remainder.

1, 3, 5, 15, 31, 93, 139, 155, 417, 465, 695, 2085, 4309, 12927, 21545

Step-4: Factors of 64655

List of positive integer factors of 64655 that divides 64635 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64635 and 64655. The biggest common factor number is the GCF number.
So the greatest common factor 64635 and 64655 is 5.

Also check out the Least Common Multiple of 64635 and 64655