What is the Greatest Common Factor of 79856 and 79872?

Greatest common factor (GCF) of 79856 and 79872 is 16.

GCF(79856,79872) = 16

We will now calculate the prime factors of 79856 and 79872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79856 and 79872.

How to find the GCF of 79856 and 79872?

We will first find the prime factorization of 79856 and 79872. After we will calculate the factors of 79856 and 79872 and find the biggest common factor number .

Step-1: Prime Factorization of 79856

Prime factors of 79856 are 2, 7, 23, 31. Prime factorization of 79856 in exponential form is:

79856 = 2⁴ × 7¹ × 23¹ × 31¹

Step-2: Prime Factorization of 79872

Prime factors of 79872 are 2, 3, 13. Prime factorization of 79872 in exponential form is:

79872 = 2¹¹ × 3¹ × 13¹

Step-3: Factors of 79856

List of positive integer factors of 79856 that divides 79856 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 31, 46, 56, 62, 92, 112, 124, 161, 184, 217, 248, 322, 368, 434, 496, 644, 713, 868, 1288, 1426, 1736, 2576, 2852, 3472, 4991, 5704, 9982, 11408, 19964, 39928

Step-4: Factors of 79872

List of positive integer factors of 79872 that divides 79856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 256, 312, 384, 416, 512, 624, 768, 832, 1024, 1248, 1536, 1664, 2048, 2496, 3072, 3328, 4992, 6144, 6656, 9984, 13312, 19968, 26624, 39936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79856 and 79872. The biggest common factor number is the GCF number.
So the greatest common factor 79856 and 79872 is 16.

Also check out the Least Common Multiple of 79856 and 79872