What is the Greatest Common Factor of 78966 and 78975?

Greatest common factor (GCF) of 78966 and 78975 is 9.

GCF(78966,78975) = 9

We will now calculate the prime factors of 78966 and 78975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78966 and 78975.

How to find the GCF of 78966 and 78975?

We will first find the prime factorization of 78966 and 78975. After we will calculate the factors of 78966 and 78975 and find the biggest common factor number .

Step-1: Prime Factorization of 78966

Prime factors of 78966 are 2, 3, 41, 107. Prime factorization of 78966 in exponential form is:

78966 = 2¹ × 3² × 41¹ × 107¹

Step-2: 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-3: Factors of 78966

List of positive integer factors of 78966 that divides 78966 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 107, 123, 214, 246, 321, 369, 642, 738, 963, 1926, 4387, 8774, 13161, 26322, 39483

Step-4: Factors of 78975

List of positive integer factors of 78975 that divides 78966 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78966 and 78975. The biggest common factor number is the GCF number.
So the greatest common factor 78966 and 78975 is 9.

Also check out the Least Common Multiple of 78966 and 78975