What is the Greatest Common Factor of 78949 and 78957?

Greatest common factor (GCF) of 78949 and 78957 is 1.

GCF(78949,78957) = 1

We will now calculate the prime factors of 78949 and 78957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78949 and 78957.

How to find the GCF of 78949 and 78957?

We will first find the prime factorization of 78949 and 78957. After we will calculate the factors of 78949 and 78957 and find the biggest common factor number .

Step-1: Prime Factorization of 78949

Prime factors of 78949 are 13, 6073. Prime factorization of 78949 in exponential form is:

78949 = 13¹ × 6073¹

Step-2: 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-3: Factors of 78949

List of positive integer factors of 78949 that divides 78949 without a remainder.

1, 13, 6073

Step-4: Factors of 78957

List of positive integer factors of 78957 that divides 78949 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78949 and 78957. The biggest common factor number is the GCF number.
So the greatest common factor 78949 and 78957 is 1.

Also check out the Least Common Multiple of 78949 and 78957