What is the Greatest Common Factor of 94614 and 94627?

Greatest common factor (GCF) of 94614 and 94627 is 13.

GCF(94614,94627) = 13

We will now calculate the prime factors of 94614 and 94627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94614 and 94627.

How to find the GCF of 94614 and 94627?

We will first find the prime factorization of 94614 and 94627. After we will calculate the factors of 94614 and 94627 and find the biggest common factor number .

Step-1: Prime Factorization of 94614

Prime factors of 94614 are 2, 3, 13, 1213. Prime factorization of 94614 in exponential form is:

94614 = 2¹ × 3¹ × 13¹ × 1213¹

Step-2: Prime Factorization of 94627

Prime factors of 94627 are 13, 29, 251. Prime factorization of 94627 in exponential form is:

94627 = 13¹ × 29¹ × 251¹

Step-3: Factors of 94614

List of positive integer factors of 94614 that divides 94614 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1213, 2426, 3639, 7278, 15769, 31538, 47307

Step-4: Factors of 94627

List of positive integer factors of 94627 that divides 94614 without a remainder.

1, 13, 29, 251, 377, 3263, 7279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94614 and 94627. The biggest common factor number is the GCF number.
So the greatest common factor 94614 and 94627 is 13.

Also check out the Least Common Multiple of 94614 and 94627