What is the Greatest Common Factor of 78932 and 78944?

Greatest common factor (GCF) of 78932 and 78944 is 4.

GCF(78932,78944) = 4

We will now calculate the prime factors of 78932 and 78944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78932 and 78944.

How to find the GCF of 78932 and 78944?

We will first find the prime factorization of 78932 and 78944. After we will calculate the factors of 78932 and 78944 and find the biggest common factor number .

Step-1: Prime Factorization of 78932

Prime factors of 78932 are 2, 7, 2819. Prime factorization of 78932 in exponential form is:

78932 = 2² × 7¹ × 2819¹

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 78932

List of positive integer factors of 78932 that divides 78932 without a remainder.

1, 2, 4, 7, 14, 28, 2819, 5638, 11276, 19733, 39466

Step-4: Factors of 78944

List of positive integer factors of 78944 that divides 78932 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 78932 and 78944. The biggest common factor number is the GCF number.
So the greatest common factor 78932 and 78944 is 4.

Also check out the Least Common Multiple of 78932 and 78944