What is the Greatest Common Factor of 64628 and 64635?

Greatest common factor (GCF) of 64628 and 64635 is 1.

GCF(64628,64635) = 1

We will now calculate the prime factors of 64628 and 64635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64628 and 64635.

How to find the GCF of 64628 and 64635?

We will first find the prime factorization of 64628 and 64635. After we will calculate the factors of 64628 and 64635 and find the biggest common factor number .

Step-1: Prime Factorization of 64628

Prime factors of 64628 are 2, 107, 151. Prime factorization of 64628 in exponential form is:

64628 = 2² × 107¹ × 151¹

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 64628

List of positive integer factors of 64628 that divides 64628 without a remainder.

1, 2, 4, 107, 151, 214, 302, 428, 604, 16157, 32314

Step-4: Factors of 64635

List of positive integer factors of 64635 that divides 64628 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 64628 and 64635. The biggest common factor number is the GCF number.
So the greatest common factor 64628 and 64635 is 1.

Also check out the Least Common Multiple of 64628 and 64635