What is the Greatest Common Factor of 94041 and 94059?

Greatest common factor (GCF) of 94041 and 94059 is 9.

GCF(94041,94059) = 9

We will now calculate the prime factors of 94041 and 94059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94041 and 94059.

How to find the GCF of 94041 and 94059?

We will first find the prime factorization of 94041 and 94059. After we will calculate the factors of 94041 and 94059 and find the biggest common factor number .

Step-1: Prime Factorization of 94041

Prime factors of 94041 are 3, 43. Prime factorization of 94041 in exponential form is:

94041 = 3⁷ × 43¹

Step-2: Prime Factorization of 94059

Prime factors of 94059 are 3, 7, 1493. Prime factorization of 94059 in exponential form is:

94059 = 3² × 7¹ × 1493¹

Step-3: Factors of 94041

List of positive integer factors of 94041 that divides 94041 without a remainder.

1, 3, 9, 27, 43, 81, 129, 243, 387, 729, 1161, 2187, 3483, 10449, 31347

Step-4: Factors of 94059

List of positive integer factors of 94059 that divides 94041 without a remainder.

1, 3, 7, 9, 21, 63, 1493, 4479, 10451, 13437, 31353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94041 and 94059. The biggest common factor number is the GCF number.
So the greatest common factor 94041 and 94059 is 9.

Also check out the Least Common Multiple of 94041 and 94059