What is the Greatest Common Factor of 94965 and 94980?

Greatest common factor (GCF) of 94965 and 94980 is 15.

GCF(94965,94980) = 15

We will now calculate the prime factors of 94965 and 94980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94965 and 94980.

How to find the GCF of 94965 and 94980?

We will first find the prime factorization of 94965 and 94980. After we will calculate the factors of 94965 and 94980 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94980

Prime factors of 94980 are 2, 3, 5, 1583. Prime factorization of 94980 in exponential form is:

94980 = 2² × 3¹ × 5¹ × 1583¹

Step-3: Factors of 94965

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

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

Step-4: Factors of 94980

List of positive integer factors of 94980 that divides 94965 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1583, 3166, 4749, 6332, 7915, 9498, 15830, 18996, 23745, 31660, 47490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94965 and 94980. The biggest common factor number is the GCF number.
So the greatest common factor 94965 and 94980 is 15.

Also check out the Least Common Multiple of 94965 and 94980