What is the Greatest Common Factor of 64713 and 64728?

Greatest common factor (GCF) of 64713 and 64728 is 3.

GCF(64713,64728) = 3

We will now calculate the prime factors of 64713 and 64728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64713 and 64728.

How to find the GCF of 64713 and 64728?

We will first find the prime factorization of 64713 and 64728. After we will calculate the factors of 64713 and 64728 and find the biggest common factor number .

Step-1: Prime Factorization of 64713

Prime factors of 64713 are 3, 11, 37, 53. Prime factorization of 64713 in exponential form is:

64713 = 3¹ × 11¹ × 37¹ × 53¹

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 64713

List of positive integer factors of 64713 that divides 64713 without a remainder.

1, 3, 11, 33, 37, 53, 111, 159, 407, 583, 1221, 1749, 1961, 5883, 21571

Step-4: Factors of 64728

List of positive integer factors of 64728 that divides 64713 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 64713 and 64728. The biggest common factor number is the GCF number.
So the greatest common factor 64713 and 64728 is 3.

Also check out the Least Common Multiple of 64713 and 64728