What is the Greatest Common Factor of 64628 and 64640?

Greatest common factor (GCF) of 64628 and 64640 is 4.

GCF(64628,64640) = 4

We will now calculate the prime factors of 64628 and 64640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64628 and 64640.

How to find the GCF of 64628 and 64640?

We will first find the prime factorization of 64628 and 64640. After we will calculate the factors of 64628 and 64640 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 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 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 64640

List of positive integer factors of 64640 that divides 64628 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 64628 and 64640. The biggest common factor number is the GCF number.
So the greatest common factor 64628 and 64640 is 4.

Also check out the Least Common Multiple of 64628 and 64640