What is the Greatest Common Factor of 78975 and 78989?

Greatest common factor (GCF) of 78975 and 78989 is 1.

GCF(78975,78989) = 1

We will now calculate the prime factors of 78975 and 78989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78975 and 78989.

How to find the GCF of 78975 and 78989?

We will first find the prime factorization of 78975 and 78989. After we will calculate the factors of 78975 and 78989 and find the biggest common factor number .

Step-1: Prime Factorization of 78975

Prime factors of 78975 are 3, 5, 13. Prime factorization of 78975 in exponential form is:

78975 = 3⁵ × 5² × 13¹

Step-2: Prime Factorization of 78989

Prime factors of 78989 are 78989. Prime factorization of 78989 in exponential form is:

78989 = 78989¹

Step-3: Factors of 78975

List of positive integer factors of 78975 that divides 78975 without a remainder.

1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 243, 325, 351, 405, 585, 675, 975, 1053, 1215, 1755, 2025, 2925, 3159, 5265, 6075, 8775, 15795, 26325

Step-4: Factors of 78989

List of positive integer factors of 78989 that divides 78975 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78975 and 78989. The biggest common factor number is the GCF number.
So the greatest common factor 78975 and 78989 is 1.

Also check out the Least Common Multiple of 78975 and 78989