What is the Greatest Common Factor of 64710 and 64728?

Greatest common factor (GCF) of 64710 and 64728 is 18.

GCF(64710,64728) = 18

We will now calculate the prime factors of 64710 and 64728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64710 and 64728.

How to find the GCF of 64710 and 64728?

We will first find the prime factorization of 64710 and 64728. After we will calculate the factors of 64710 and 64728 and find the biggest common factor number .

Step-1: Prime Factorization of 64710

Prime factors of 64710 are 2, 3, 5, 719. Prime factorization of 64710 in exponential form is:

64710 = 2¹ × 3² × 5¹ × 719¹

Step-2: 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-3: Factors of 64710

List of positive integer factors of 64710 that divides 64710 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 719, 1438, 2157, 3595, 4314, 6471, 7190, 10785, 12942, 21570, 32355

Step-4: Factors of 64728

List of positive integer factors of 64728 that divides 64710 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64710 and 64728. The biggest common factor number is the GCF number.
So the greatest common factor 64710 and 64728 is 18.

Also check out the Least Common Multiple of 64710 and 64728