What is the Greatest Common Factor of 79448 and 79456?

Greatest common factor (GCF) of 79448 and 79456 is 8.

GCF(79448,79456) = 8

We will now calculate the prime factors of 79448 and 79456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79448 and 79456.

How to find the GCF of 79448 and 79456?

We will first find the prime factorization of 79448 and 79456. After we will calculate the factors of 79448 and 79456 and find the biggest common factor number .

Step-1: Prime Factorization of 79448

Prime factors of 79448 are 2, 9931. Prime factorization of 79448 in exponential form is:

79448 = 2³ × 9931¹

Step-2: Prime Factorization of 79456

Prime factors of 79456 are 2, 13, 191. Prime factorization of 79456 in exponential form is:

79456 = 2⁵ × 13¹ × 191¹

Step-3: Factors of 79448

List of positive integer factors of 79448 that divides 79448 without a remainder.

1, 2, 4, 8, 9931, 19862, 39724

Step-4: Factors of 79456

List of positive integer factors of 79456 that divides 79448 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 191, 208, 382, 416, 764, 1528, 2483, 3056, 4966, 6112, 9932, 19864, 39728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79448 and 79456. The biggest common factor number is the GCF number.
So the greatest common factor 79448 and 79456 is 8.

Also check out the Least Common Multiple of 79448 and 79456