What is the Greatest Common Factor of 79728 and 79743?

Greatest common factor (GCF) of 79728 and 79743 is 3.

GCF(79728,79743) = 3

We will now calculate the prime factors of 79728 and 79743, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79728 and 79743.

How to find the GCF of 79728 and 79743?

We will first find the prime factorization of 79728 and 79743. After we will calculate the factors of 79728 and 79743 and find the biggest common factor number .

Step-1: Prime Factorization of 79728

Prime factors of 79728 are 2, 3, 11, 151. Prime factorization of 79728 in exponential form is:

79728 = 2⁴ × 3¹ × 11¹ × 151¹

Step-2: Prime Factorization of 79743

Prime factors of 79743 are 3, 19, 1399. Prime factorization of 79743 in exponential form is:

79743 = 3¹ × 19¹ × 1399¹

Step-3: Factors of 79728

List of positive integer factors of 79728 that divides 79728 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 151, 176, 264, 302, 453, 528, 604, 906, 1208, 1661, 1812, 2416, 3322, 3624, 4983, 6644, 7248, 9966, 13288, 19932, 26576, 39864

Step-4: Factors of 79743

List of positive integer factors of 79743 that divides 79728 without a remainder.

1, 3, 19, 57, 1399, 4197, 26581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79728 and 79743. The biggest common factor number is the GCF number.
So the greatest common factor 79728 and 79743 is 3.

Also check out the Least Common Multiple of 79728 and 79743