What is the Greatest Common Factor of 78928 and 78944?

Greatest common factor (GCF) of 78928 and 78944 is 16.

GCF(78928,78944) = 16

We will now calculate the prime factors of 78928 and 78944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78928 and 78944.

How to find the GCF of 78928 and 78944?

We will first find the prime factorization of 78928 and 78944. After we will calculate the factors of 78928 and 78944 and find the biggest common factor number .

Step-1: Prime Factorization of 78928

Prime factors of 78928 are 2, 4933. Prime factorization of 78928 in exponential form is:

78928 = 2⁴ × 4933¹

Step-2: Prime Factorization of 78944

Prime factors of 78944 are 2, 2467. Prime factorization of 78944 in exponential form is:

78944 = 2⁵ × 2467¹

Step-3: Factors of 78928

List of positive integer factors of 78928 that divides 78928 without a remainder.

1, 2, 4, 8, 16, 4933, 9866, 19732, 39464

Step-4: Factors of 78944

List of positive integer factors of 78944 that divides 78928 without a remainder.

1, 2, 4, 8, 16, 32, 2467, 4934, 9868, 19736, 39472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78928 and 78944. The biggest common factor number is the GCF number.
So the greatest common factor 78928 and 78944 is 16.

Also check out the Least Common Multiple of 78928 and 78944