What is the Greatest Common Factor of 78944 and 78958?

Greatest common factor (GCF) of 78944 and 78958 is 2.

GCF(78944,78958) = 2

We will now calculate the prime factors of 78944 and 78958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78944 and 78958.

How to find the GCF of 78944 and 78958?

We will first find the prime factorization of 78944 and 78958. After we will calculate the factors of 78944 and 78958 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 78958

Prime factors of 78958 are 2, 11, 37, 97. Prime factorization of 78958 in exponential form is:

78958 = 2¹ × 11¹ × 37¹ × 97¹

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 78958

List of positive integer factors of 78958 that divides 78944 without a remainder.

1, 2, 11, 22, 37, 74, 97, 194, 407, 814, 1067, 2134, 3589, 7178, 39479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78944 and 78958. The biggest common factor number is the GCF number.
So the greatest common factor 78944 and 78958 is 2.

Also check out the Least Common Multiple of 78944 and 78958