What is the Greatest Common Factor of 64635 and 64640?

Greatest common factor (GCF) of 64635 and 64640 is 5.

GCF(64635,64640) = 5

We will now calculate the prime factors of 64635 and 64640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64635 and 64640.

How to find the GCF of 64635 and 64640?

We will first find the prime factorization of 64635 and 64640. After we will calculate the factors of 64635 and 64640 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 64640

Prime factors of 64640 are 2, 5, 101. Prime factorization of 64640 in exponential form is:

64640 = 2⁷ × 5¹ × 101¹

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 64640

List of positive integer factors of 64640 that divides 64635 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 101, 128, 160, 202, 320, 404, 505, 640, 808, 1010, 1616, 2020, 3232, 4040, 6464, 8080, 12928, 16160, 32320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64635 and 64640. The biggest common factor number is the GCF number.
So the greatest common factor 64635 and 64640 is 5.

Also check out the Least Common Multiple of 64635 and 64640