What is the Greatest Common Factor of 79716 and 79728?

Greatest common factor (GCF) of 79716 and 79728 is 12.

GCF(79716,79728) = 12

We will now calculate the prime factors of 79716 and 79728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79716 and 79728.

How to find the GCF of 79716 and 79728?

We will first find the prime factorization of 79716 and 79728. After we will calculate the factors of 79716 and 79728 and find the biggest common factor number .

Step-1: Prime Factorization of 79716

Prime factors of 79716 are 2, 3, 7, 13, 73. Prime factorization of 79716 in exponential form is:

79716 = 2² × 3¹ × 7¹ × 13¹ × 73¹

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 79716

List of positive integer factors of 79716 that divides 79716 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 73, 78, 84, 91, 146, 156, 182, 219, 273, 292, 364, 438, 511, 546, 876, 949, 1022, 1092, 1533, 1898, 2044, 2847, 3066, 3796, 5694, 6132, 6643, 11388, 13286, 19929, 26572, 39858

Step-4: Factors of 79728

List of positive integer factors of 79728 that divides 79716 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 79716 and 79728. The biggest common factor number is the GCF number.
So the greatest common factor 79716 and 79728 is 12.

Also check out the Least Common Multiple of 79716 and 79728