What is the Greatest Common Factor of 94950 and 94965?

Greatest common factor (GCF) of 94950 and 94965 is 15.

GCF(94950,94965) = 15

We will now calculate the prime factors of 94950 and 94965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94950 and 94965.

How to find the GCF of 94950 and 94965?

We will first find the prime factorization of 94950 and 94965. After we will calculate the factors of 94950 and 94965 and find the biggest common factor number .

Step-1: Prime Factorization of 94950

Prime factors of 94950 are 2, 3, 5, 211. Prime factorization of 94950 in exponential form is:

94950 = 2¹ × 3² × 5² × 211¹

Step-2: Prime Factorization of 94965

Prime factors of 94965 are 3, 5, 13, 487. Prime factorization of 94965 in exponential form is:

94965 = 3¹ × 5¹ × 13¹ × 487¹

Step-3: Factors of 94950

List of positive integer factors of 94950 that divides 94950 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 211, 225, 422, 450, 633, 1055, 1266, 1899, 2110, 3165, 3798, 5275, 6330, 9495, 10550, 15825, 18990, 31650, 47475

Step-4: Factors of 94965

List of positive integer factors of 94965 that divides 94950 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 487, 1461, 2435, 6331, 7305, 18993, 31655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94950 and 94965. The biggest common factor number is the GCF number.
So the greatest common factor 94950 and 94965 is 15.

Also check out the Least Common Multiple of 94950 and 94965