What is the Greatest Common Factor of 64728 and 64740?

Greatest common factor (GCF) of 64728 and 64740 is 12.

GCF(64728,64740) = 12

We will now calculate the prime factors of 64728 and 64740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64728 and 64740.

How to find the GCF of 64728 and 64740?

We will first find the prime factorization of 64728 and 64740. After we will calculate the factors of 64728 and 64740 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 64740

Prime factors of 64740 are 2, 3, 5, 13, 83. Prime factorization of 64740 in exponential form is:

64740 = 2² × 3¹ × 5¹ × 13¹ × 83¹

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 64740

List of positive integer factors of 64740 that divides 64728 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 83, 130, 156, 166, 195, 249, 260, 332, 390, 415, 498, 780, 830, 996, 1079, 1245, 1660, 2158, 2490, 3237, 4316, 4980, 5395, 6474, 10790, 12948, 16185, 21580, 32370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64728 and 64740. The biggest common factor number is the GCF number.
So the greatest common factor 64728 and 64740 is 12.

Also check out the Least Common Multiple of 64728 and 64740