What is the Greatest Common Factor of 94368 and 94377?

Greatest common factor (GCF) of 94368 and 94377 is 3.

GCF(94368,94377) = 3

We will now calculate the prime factors of 94368 and 94377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94368 and 94377.

How to find the GCF of 94368 and 94377?

We will first find the prime factorization of 94368 and 94377. After we will calculate the factors of 94368 and 94377 and find the biggest common factor number .

Step-1: Prime Factorization of 94368

Prime factors of 94368 are 2, 3, 983. Prime factorization of 94368 in exponential form is:

94368 = 2⁵ × 3¹ × 983¹

Step-2: Prime Factorization of 94377

Prime factors of 94377 are 3, 163, 193. Prime factorization of 94377 in exponential form is:

94377 = 3¹ × 163¹ × 193¹

Step-3: Factors of 94368

List of positive integer factors of 94368 that divides 94368 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 983, 1966, 2949, 3932, 5898, 7864, 11796, 15728, 23592, 31456, 47184

Step-4: Factors of 94377

List of positive integer factors of 94377 that divides 94368 without a remainder.

1, 3, 163, 193, 489, 579, 31459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94368 and 94377. The biggest common factor number is the GCF number.
So the greatest common factor 94368 and 94377 is 3.

Also check out the Least Common Multiple of 94368 and 94377