What is the Greatest Common Factor of 94965 and 94977?

Greatest common factor (GCF) of 94965 and 94977 is 3.

GCF(94965,94977) = 3

We will now calculate the prime factors of 94965 and 94977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94965 and 94977.

How to find the GCF of 94965 and 94977?

We will first find the prime factorization of 94965 and 94977. After we will calculate the factors of 94965 and 94977 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 94977

Prime factors of 94977 are 3, 61, 173. Prime factorization of 94977 in exponential form is:

94977 = 3² × 61¹ × 173¹

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 94977

List of positive integer factors of 94977 that divides 94965 without a remainder.

1, 3, 9, 61, 173, 183, 519, 549, 1557, 10553, 31659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94965 and 94977. The biggest common factor number is the GCF number.
So the greatest common factor 94965 and 94977 is 3.

Also check out the Least Common Multiple of 94965 and 94977