What is the Greatest Common Factor of 78928 and 78942?

Greatest common factor (GCF) of 78928 and 78942 is 2.

GCF(78928,78942) = 2

We will now calculate the prime factors of 78928 and 78942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78928 and 78942.

How to find the GCF of 78928 and 78942?

We will first find the prime factorization of 78928 and 78942. After we will calculate the factors of 78928 and 78942 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 78942

Prime factors of 78942 are 2, 3, 59, 223. Prime factorization of 78942 in exponential form is:

78942 = 2¹ × 3¹ × 59¹ × 223¹

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 78942

List of positive integer factors of 78942 that divides 78928 without a remainder.

1, 2, 3, 6, 59, 118, 177, 223, 354, 446, 669, 1338, 13157, 26314, 39471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78928 and 78942. The biggest common factor number is the GCF number.
So the greatest common factor 78928 and 78942 is 2.

Also check out the Least Common Multiple of 78928 and 78942