What is the Greatest Common Factor of 78944 and 78956?

Greatest common factor (GCF) of 78944 and 78956 is 4.

GCF(78944,78956) = 4

We will now calculate the prime factors of 78944 and 78956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78944 and 78956.

How to find the GCF of 78944 and 78956?

We will first find the prime factorization of 78944 and 78956. After we will calculate the factors of 78944 and 78956 and find the biggest common factor number .

Step-1: Prime Factorization of 78944

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

78944 = 2⁵ × 2467¹

Step-2: Prime Factorization of 78956

Prime factors of 78956 are 2, 19739. Prime factorization of 78956 in exponential form is:

78956 = 2² × 19739¹

Step-3: Factors of 78944

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

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

Step-4: Factors of 78956

List of positive integer factors of 78956 that divides 78944 without a remainder.

1, 2, 4, 19739, 39478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78944 and 78956. The biggest common factor number is the GCF number.
So the greatest common factor 78944 and 78956 is 4.

Also check out the Least Common Multiple of 78944 and 78956