What is the Greatest Common Factor of 94341 and 94356?

Greatest common factor (GCF) of 94341 and 94356 is 3.

GCF(94341,94356) = 3

We will now calculate the prime factors of 94341 and 94356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94341 and 94356.

How to find the GCF of 94341 and 94356?

We will first find the prime factorization of 94341 and 94356. After we will calculate the factors of 94341 and 94356 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 94356

Prime factors of 94356 are 2, 3, 2621. Prime factorization of 94356 in exponential form is:

94356 = 2² × 3² × 2621¹

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 94356

List of positive integer factors of 94356 that divides 94341 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2621, 5242, 7863, 10484, 15726, 23589, 31452, 47178

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94341 and 94356. The biggest common factor number is the GCF number.
So the greatest common factor 94341 and 94356 is 3.

Also check out the Least Common Multiple of 94341 and 94356