What is the Greatest Common Factor of 94665 and 94677?

Greatest common factor (GCF) of 94665 and 94677 is 3.

GCF(94665,94677) = 3

We will now calculate the prime factors of 94665 and 94677, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94665 and 94677.

How to find the GCF of 94665 and 94677?

We will first find the prime factorization of 94665 and 94677. After we will calculate the factors of 94665 and 94677 and find the biggest common factor number .

Step-1: Prime Factorization of 94665

Prime factors of 94665 are 3, 5, 6311. Prime factorization of 94665 in exponential form is:

94665 = 3¹ × 5¹ × 6311¹

Step-2: Prime Factorization of 94677

Prime factors of 94677 are 3, 11, 19, 151. Prime factorization of 94677 in exponential form is:

94677 = 3¹ × 11¹ × 19¹ × 151¹

Step-3: Factors of 94665

List of positive integer factors of 94665 that divides 94665 without a remainder.

1, 3, 5, 15, 6311, 18933, 31555

Step-4: Factors of 94677

List of positive integer factors of 94677 that divides 94665 without a remainder.

1, 3, 11, 19, 33, 57, 151, 209, 453, 627, 1661, 2869, 4983, 8607, 31559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94665 and 94677. The biggest common factor number is the GCF number.
So the greatest common factor 94665 and 94677 is 3.

Also check out the Least Common Multiple of 94665 and 94677