What is the Greatest Common Factor of 64728 and 64738?

Greatest common factor (GCF) of 64728 and 64738 is 2.

GCF(64728,64738) = 2

We will now calculate the prime factors of 64728 and 64738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64728 and 64738.

How to find the GCF of 64728 and 64738?

We will first find the prime factorization of 64728 and 64738. After we will calculate the factors of 64728 and 64738 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 64738

Prime factors of 64738 are 2, 32369. Prime factorization of 64738 in exponential form is:

64738 = 2¹ × 32369¹

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 64738

List of positive integer factors of 64738 that divides 64728 without a remainder.

1, 2, 32369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64728 and 64738. The biggest common factor number is the GCF number.
So the greatest common factor 64728 and 64738 is 2.

Also check out the Least Common Multiple of 64728 and 64738