What is the Greatest Common Factor of 94284 and 94296?

Greatest common factor (GCF) of 94284 and 94296 is 12.

GCF(94284,94296) = 12

We will now calculate the prime factors of 94284 and 94296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94284 and 94296.

How to find the GCF of 94284 and 94296?

We will first find the prime factorization of 94284 and 94296. After we will calculate the factors of 94284 and 94296 and find the biggest common factor number .

Step-1: Prime Factorization of 94284

Prime factors of 94284 are 2, 3, 97. Prime factorization of 94284 in exponential form is:

94284 = 2² × 3⁵ × 97¹

Step-2: Prime Factorization of 94296

Prime factors of 94296 are 2, 3, 3929. Prime factorization of 94296 in exponential form is:

94296 = 2³ × 3¹ × 3929¹

Step-3: Factors of 94284

List of positive integer factors of 94284 that divides 94284 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 97, 108, 162, 194, 243, 291, 324, 388, 486, 582, 873, 972, 1164, 1746, 2619, 3492, 5238, 7857, 10476, 15714, 23571, 31428, 47142

Step-4: Factors of 94296

List of positive integer factors of 94296 that divides 94284 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3929, 7858, 11787, 15716, 23574, 31432, 47148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94284 and 94296. The biggest common factor number is the GCF number.
So the greatest common factor 94284 and 94296 is 12.

Also check out the Least Common Multiple of 94284 and 94296