What is the Greatest Common Factor of 79840 and 79856?

Greatest common factor (GCF) of 79840 and 79856 is 16.

GCF(79840,79856) = 16

We will now calculate the prime factors of 79840 and 79856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79840 and 79856.

How to find the GCF of 79840 and 79856?

We will first find the prime factorization of 79840 and 79856. After we will calculate the factors of 79840 and 79856 and find the biggest common factor number .

Step-1: Prime Factorization of 79840

Prime factors of 79840 are 2, 5, 499. Prime factorization of 79840 in exponential form is:

79840 = 2⁵ × 5¹ × 499¹

Step-2: 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-3: Factors of 79840

List of positive integer factors of 79840 that divides 79840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 499, 998, 1996, 2495, 3992, 4990, 7984, 9980, 15968, 19960, 39920

Step-4: Factors of 79856

List of positive integer factors of 79856 that divides 79840 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79840 and 79856. The biggest common factor number is the GCF number.
So the greatest common factor 79840 and 79856 is 16.

Also check out the Least Common Multiple of 79840 and 79856