What is the Greatest Common Factor of 94315 and 94328?

Greatest common factor (GCF) of 94315 and 94328 is 13.

GCF(94315,94328) = 13

We will now calculate the prime factors of 94315 and 94328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94315 and 94328.

How to find the GCF of 94315 and 94328?

We will first find the prime factorization of 94315 and 94328. After we will calculate the factors of 94315 and 94328 and find the biggest common factor number .

Step-1: Prime Factorization of 94315

Prime factors of 94315 are 5, 13, 1451. Prime factorization of 94315 in exponential form is:

94315 = 5¹ × 13¹ × 1451¹

Step-2: Prime Factorization of 94328

Prime factors of 94328 are 2, 13, 907. Prime factorization of 94328 in exponential form is:

94328 = 2³ × 13¹ × 907¹

Step-3: Factors of 94315

List of positive integer factors of 94315 that divides 94315 without a remainder.

1, 5, 13, 65, 1451, 7255, 18863

Step-4: Factors of 94328

List of positive integer factors of 94328 that divides 94315 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 907, 1814, 3628, 7256, 11791, 23582, 47164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94315 and 94328. The biggest common factor number is the GCF number.
So the greatest common factor 94315 and 94328 is 13.

Also check out the Least Common Multiple of 94315 and 94328