What is the Greatest Common Factor of 78957 and 78976?

Greatest common factor (GCF) of 78957 and 78976 is 1.

GCF(78957,78976) = 1

We will now calculate the prime factors of 78957 and 78976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78957 and 78976.

How to find the GCF of 78957 and 78976?

We will first find the prime factorization of 78957 and 78976. After we will calculate the factors of 78957 and 78976 and find the biggest common factor number .

Step-1: Prime Factorization of 78957

Prime factors of 78957 are 3, 31, 283. Prime factorization of 78957 in exponential form is:

78957 = 3² × 31¹ × 283¹

Step-2: Prime Factorization of 78976

Prime factors of 78976 are 2, 617. Prime factorization of 78976 in exponential form is:

78976 = 2⁷ × 617¹

Step-3: Factors of 78957

List of positive integer factors of 78957 that divides 78957 without a remainder.

1, 3, 9, 31, 93, 279, 283, 849, 2547, 8773, 26319

Step-4: Factors of 78976

List of positive integer factors of 78976 that divides 78957 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 617, 1234, 2468, 4936, 9872, 19744, 39488

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78957 and 78976. The biggest common factor number is the GCF number.
So the greatest common factor 78957 and 78976 is 1.

Also check out the Least Common Multiple of 78957 and 78976