What is the Greatest Common Factor of 79717 and 79728?

Greatest common factor (GCF) of 79717 and 79728 is 11.

GCF(79717,79728) = 11

We will now calculate the prime factors of 79717 and 79728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79717 and 79728.

How to find the GCF of 79717 and 79728?

We will first find the prime factorization of 79717 and 79728. After we will calculate the factors of 79717 and 79728 and find the biggest common factor number .

Step-1: Prime Factorization of 79717

Prime factors of 79717 are 11, 7247. Prime factorization of 79717 in exponential form is:

79717 = 11¹ × 7247¹

Step-2: 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-3: Factors of 79717

List of positive integer factors of 79717 that divides 79717 without a remainder.

1, 11, 7247

Step-4: Factors of 79728

List of positive integer factors of 79728 that divides 79717 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79717 and 79728. The biggest common factor number is the GCF number.
So the greatest common factor 79717 and 79728 is 11.

Also check out the Least Common Multiple of 79717 and 79728