What is the Greatest Common Factor of 79852 and 79856?

Greatest common factor (GCF) of 79852 and 79856 is 4.

GCF(79852,79856) = 4

We will now calculate the prime factors of 79852 and 79856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79852 and 79856.

How to find the GCF of 79852 and 79856?

We will first find the prime factorization of 79852 and 79856. After we will calculate the factors of 79852 and 79856 and find the biggest common factor number .

Step-1: Prime Factorization of 79852

Prime factors of 79852 are 2, 19963. Prime factorization of 79852 in exponential form is:

79852 = 2² × 19963¹

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 79852

List of positive integer factors of 79852 that divides 79852 without a remainder.

1, 2, 4, 19963, 39926

Step-4: Factors of 79856

List of positive integer factors of 79856 that divides 79852 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 79852 and 79856. The biggest common factor number is the GCF number.
So the greatest common factor 79852 and 79856 is 4.

Also check out the Least Common Multiple of 79852 and 79856