What is the Greatest Common Factor of 94665 and 94675?

Greatest common factor (GCF) of 94665 and 94675 is 5.

GCF(94665,94675) = 5

We will now calculate the prime factors of 94665 and 94675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94665 and 94675.

How to find the GCF of 94665 and 94675?

We will first find the prime factorization of 94665 and 94675. After we will calculate the factors of 94665 and 94675 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 94675

Prime factors of 94675 are 5, 7, 541. Prime factorization of 94675 in exponential form is:

94675 = 5² × 7¹ × 541¹

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 94675

List of positive integer factors of 94675 that divides 94665 without a remainder.

1, 5, 7, 25, 35, 175, 541, 2705, 3787, 13525, 18935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94665 and 94675. The biggest common factor number is the GCF number.
So the greatest common factor 94665 and 94675 is 5.

Also check out the Least Common Multiple of 94665 and 94675