What is the Greatest Common Factor of 79856 and 79866?

Greatest common factor (GCF) of 79856 and 79866 is 2.

GCF(79856,79866) = 2

We will now calculate the prime factors of 79856 and 79866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79856 and 79866.

How to find the GCF of 79856 and 79866?

We will first find the prime factorization of 79856 and 79866. After we will calculate the factors of 79856 and 79866 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 79866

Prime factors of 79866 are 2, 3, 17, 29. Prime factorization of 79866 in exponential form is:

79866 = 2¹ × 3⁴ × 17¹ × 29¹

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 79866

List of positive integer factors of 79866 that divides 79856 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 29, 34, 51, 54, 58, 81, 87, 102, 153, 162, 174, 261, 306, 459, 493, 522, 783, 918, 986, 1377, 1479, 1566, 2349, 2754, 2958, 4437, 4698, 8874, 13311, 26622, 39933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79856 and 79866. The biggest common factor number is the GCF number.
So the greatest common factor 79856 and 79866 is 2.

Also check out the Least Common Multiple of 79856 and 79866