What is the Greatest Common Factor of 64728 and 64737?

Greatest common factor (GCF) of 64728 and 64737 is 9.

GCF(64728,64737) = 9

We will now calculate the prime factors of 64728 and 64737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64728 and 64737.

How to find the GCF of 64728 and 64737?

We will first find the prime factorization of 64728 and 64737. After we will calculate the factors of 64728 and 64737 and find the biggest common factor number .

Step-1: Prime Factorization of 64728

Prime factors of 64728 are 2, 3, 29, 31. Prime factorization of 64728 in exponential form is:

64728 = 2³ × 3² × 29¹ × 31¹

Step-2: Prime Factorization of 64737

Prime factors of 64737 are 3, 7193. Prime factorization of 64737 in exponential form is:

64737 = 3² × 7193¹

Step-3: Factors of 64728

List of positive integer factors of 64728 that divides 64728 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 29, 31, 36, 58, 62, 72, 87, 93, 116, 124, 174, 186, 232, 248, 261, 279, 348, 372, 522, 558, 696, 744, 899, 1044, 1116, 1798, 2088, 2232, 2697, 3596, 5394, 7192, 8091, 10788, 16182, 21576, 32364

Step-4: Factors of 64737

List of positive integer factors of 64737 that divides 64728 without a remainder.

1, 3, 9, 7193, 21579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64728 and 64737. The biggest common factor number is the GCF number.
So the greatest common factor 64728 and 64737 is 9.

Also check out the Least Common Multiple of 64728 and 64737