What is the Greatest Common Factor of 76728 and 76740?

Greatest common factor (GCF) of 76728 and 76740 is 12.

GCF(76728,76740) = 12

We will now calculate the prime factors of 76728 and 76740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76728 and 76740.

How to find the GCF of 76728 and 76740?

We will first find the prime factorization of 76728 and 76740. After we will calculate the factors of 76728 and 76740 and find the biggest common factor number .

Step-1: Prime Factorization of 76728

Prime factors of 76728 are 2, 3, 23, 139. Prime factorization of 76728 in exponential form is:

76728 = 2³ × 3¹ × 23¹ × 139¹

Step-2: Prime Factorization of 76740

Prime factors of 76740 are 2, 3, 5, 1279. Prime factorization of 76740 in exponential form is:

76740 = 2² × 3¹ × 5¹ × 1279¹

Step-3: Factors of 76728

List of positive integer factors of 76728 that divides 76728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 139, 184, 276, 278, 417, 552, 556, 834, 1112, 1668, 3197, 3336, 6394, 9591, 12788, 19182, 25576, 38364

Step-4: Factors of 76740

List of positive integer factors of 76740 that divides 76728 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1279, 2558, 3837, 5116, 6395, 7674, 12790, 15348, 19185, 25580, 38370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76728 and 76740. The biggest common factor number is the GCF number.
So the greatest common factor 76728 and 76740 is 12.

Also check out the Least Common Multiple of 76728 and 76740