What is the Greatest Common Factor of 79728 and 79734?

Greatest common factor (GCF) of 79728 and 79734 is 6.

GCF(79728,79734) = 6

We will now calculate the prime factors of 79728 and 79734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79728 and 79734.

How to find the GCF of 79728 and 79734?

We will first find the prime factorization of 79728 and 79734. After we will calculate the factors of 79728 and 79734 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 79734

Prime factors of 79734 are 2, 3, 97, 137. Prime factorization of 79734 in exponential form is:

79734 = 2¹ × 3¹ × 97¹ × 137¹

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 79734

List of positive integer factors of 79734 that divides 79728 without a remainder.

1, 2, 3, 6, 97, 137, 194, 274, 291, 411, 582, 822, 13289, 26578, 39867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79728 and 79734. The biggest common factor number is the GCF number.
So the greatest common factor 79728 and 79734 is 6.

Also check out the Least Common Multiple of 79728 and 79734