What is the Greatest Common Factor of 94328 and 94341?

Greatest common factor (GCF) of 94328 and 94341 is 13.

GCF(94328,94341) = 13

We will now calculate the prime factors of 94328 and 94341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94328 and 94341.

How to find the GCF of 94328 and 94341?

We will first find the prime factorization of 94328 and 94341. After we will calculate the factors of 94328 and 94341 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94341

Prime factors of 94341 are 3, 13, 41, 59. Prime factorization of 94341 in exponential form is:

94341 = 3¹ × 13¹ × 41¹ × 59¹

Step-3: Factors of 94328

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

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

Step-4: Factors of 94341

List of positive integer factors of 94341 that divides 94328 without a remainder.

1, 3, 13, 39, 41, 59, 123, 177, 533, 767, 1599, 2301, 2419, 7257, 31447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94328 and 94341. The biggest common factor number is the GCF number.
So the greatest common factor 94328 and 94341 is 13.

Also check out the Least Common Multiple of 94328 and 94341