What is the Greatest Common Factor of 79728 and 79739?

Greatest common factor (GCF) of 79728 and 79739 is 11.

GCF(79728,79739) = 11

We will now calculate the prime factors of 79728 and 79739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79728 and 79739.

How to find the GCF of 79728 and 79739?

We will first find the prime factorization of 79728 and 79739. After we will calculate the factors of 79728 and 79739 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 79739

Prime factors of 79739 are 11, 659. Prime factorization of 79739 in exponential form is:

79739 = 11² × 659¹

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 79739

List of positive integer factors of 79739 that divides 79728 without a remainder.

1, 11, 121, 659, 7249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79728 and 79739. The biggest common factor number is the GCF number.
So the greatest common factor 79728 and 79739 is 11.

Also check out the Least Common Multiple of 79728 and 79739