What is the Greatest Common Factor of 94932 and 94944?

Greatest common factor (GCF) of 94932 and 94944 is 12.

GCF(94932,94944) = 12

We will now calculate the prime factors of 94932 and 94944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94932 and 94944.

How to find the GCF of 94932 and 94944?

We will first find the prime factorization of 94932 and 94944. After we will calculate the factors of 94932 and 94944 and find the biggest common factor number .

Step-1: Prime Factorization of 94932

Prime factors of 94932 are 2, 3, 293. Prime factorization of 94932 in exponential form is:

94932 = 2² × 3⁴ × 293¹

Step-2: Prime Factorization of 94944

Prime factors of 94944 are 2, 3, 23, 43. Prime factorization of 94944 in exponential form is:

94944 = 2⁵ × 3¹ × 23¹ × 43¹

Step-3: Factors of 94932

List of positive integer factors of 94932 that divides 94932 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 293, 324, 586, 879, 1172, 1758, 2637, 3516, 5274, 7911, 10548, 15822, 23733, 31644, 47466

Step-4: Factors of 94944

List of positive integer factors of 94944 that divides 94932 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 43, 46, 48, 69, 86, 92, 96, 129, 138, 172, 184, 258, 276, 344, 368, 516, 552, 688, 736, 989, 1032, 1104, 1376, 1978, 2064, 2208, 2967, 3956, 4128, 5934, 7912, 11868, 15824, 23736, 31648, 47472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94932 and 94944. The biggest common factor number is the GCF number.
So the greatest common factor 94932 and 94944 is 12.

Also check out the Least Common Multiple of 94932 and 94944