What is the Greatest Common Factor of 79728 and 79744?

Greatest common factor (GCF) of 79728 and 79744 is 16.

GCF(79728,79744) = 16

We will now calculate the prime factors of 79728 and 79744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79728 and 79744.

How to find the GCF of 79728 and 79744?

We will first find the prime factorization of 79728 and 79744. After we will calculate the factors of 79728 and 79744 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 79744

Prime factors of 79744 are 2, 7, 89. Prime factorization of 79744 in exponential form is:

79744 = 2⁷ × 7¹ × 89¹

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 79744

List of positive integer factors of 79744 that divides 79728 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 89, 112, 128, 178, 224, 356, 448, 623, 712, 896, 1246, 1424, 2492, 2848, 4984, 5696, 9968, 11392, 19936, 39872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79728 and 79744. The biggest common factor number is the GCF number.
So the greatest common factor 79728 and 79744 is 16.

Also check out the Least Common Multiple of 79728 and 79744