What is the Greatest Common Factor of 94341 and 94359?

Greatest common factor (GCF) of 94341 and 94359 is 3.

GCF(94341,94359) = 3

We will now calculate the prime factors of 94341 and 94359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94341 and 94359.

How to find the GCF of 94341 and 94359?

We will first find the prime factorization of 94341 and 94359. After we will calculate the factors of 94341 and 94359 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 94359

Prime factors of 94359 are 3, 71, 443. Prime factorization of 94359 in exponential form is:

94359 = 3¹ × 71¹ × 443¹

Step-3: Factors of 94341

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

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

Step-4: Factors of 94359

List of positive integer factors of 94359 that divides 94341 without a remainder.

1, 3, 71, 213, 443, 1329, 31453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94341 and 94359. The biggest common factor number is the GCF number.
So the greatest common factor 94341 and 94359 is 3.

Also check out the Least Common Multiple of 94341 and 94359