What is the Greatest Common Factor of 79838 and 79856?

Greatest common factor (GCF) of 79838 and 79856 is 2.

GCF(79838,79856) = 2

We will now calculate the prime factors of 79838 and 79856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79838 and 79856.

How to find the GCF of 79838 and 79856?

We will first find the prime factorization of 79838 and 79856. After we will calculate the factors of 79838 and 79856 and find the biggest common factor number .

Step-1: Prime Factorization of 79838

Prime factors of 79838 are 2, 11, 19, 191. Prime factorization of 79838 in exponential form is:

79838 = 2¹ × 11¹ × 19¹ × 191¹

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 79838

List of positive integer factors of 79838 that divides 79838 without a remainder.

1, 2, 11, 19, 22, 38, 191, 209, 382, 418, 2101, 3629, 4202, 7258, 39919

Step-4: Factors of 79856

List of positive integer factors of 79856 that divides 79838 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 79838 and 79856. The biggest common factor number is the GCF number.
So the greatest common factor 79838 and 79856 is 2.

Also check out the Least Common Multiple of 79838 and 79856