What is the Greatest Common Factor of 94272 and 94284?

Greatest common factor (GCF) of 94272 and 94284 is 12.

GCF(94272,94284) = 12

We will now calculate the prime factors of 94272 and 94284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94272 and 94284.

How to find the GCF of 94272 and 94284?

We will first find the prime factorization of 94272 and 94284. After we will calculate the factors of 94272 and 94284 and find the biggest common factor number .

Step-1: Prime Factorization of 94272

Prime factors of 94272 are 2, 3, 491. Prime factorization of 94272 in exponential form is:

94272 = 2⁶ × 3¹ × 491¹

Step-2: 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-3: Factors of 94272

List of positive integer factors of 94272 that divides 94272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 491, 982, 1473, 1964, 2946, 3928, 5892, 7856, 11784, 15712, 23568, 31424, 47136

Step-4: Factors of 94284

List of positive integer factors of 94284 that divides 94272 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94272 and 94284. The biggest common factor number is the GCF number.
So the greatest common factor 94272 and 94284 is 12.

Also check out the Least Common Multiple of 94272 and 94284