What is the Greatest Common Factor of 64623 and 64635?

Greatest common factor (GCF) of 64623 and 64635 is 3.

GCF(64623,64635) = 3

We will now calculate the prime factors of 64623 and 64635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64623 and 64635.

How to find the GCF of 64623 and 64635?

We will first find the prime factorization of 64623 and 64635. After we will calculate the factors of 64623 and 64635 and find the biggest common factor number .

Step-1: Prime Factorization of 64623

Prime factors of 64623 are 3, 13, 1657. Prime factorization of 64623 in exponential form is:

64623 = 3¹ × 13¹ × 1657¹

Step-2: 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-3: Factors of 64623

List of positive integer factors of 64623 that divides 64623 without a remainder.

1, 3, 13, 39, 1657, 4971, 21541

Step-4: Factors of 64635

List of positive integer factors of 64635 that divides 64623 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64623 and 64635. The biggest common factor number is the GCF number.
So the greatest common factor 64623 and 64635 is 3.

Also check out the Least Common Multiple of 64623 and 64635