What is the Greatest Common Factor of 94928 and 94944?

Greatest common factor (GCF) of 94928 and 94944 is 16.

GCF(94928,94944) = 16

We will now calculate the prime factors of 94928 and 94944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94928 and 94944.

How to find the GCF of 94928 and 94944?

We will first find the prime factorization of 94928 and 94944. After we will calculate the factors of 94928 and 94944 and find the biggest common factor number .

Step-1: Prime Factorization of 94928

Prime factors of 94928 are 2, 17, 349. Prime factorization of 94928 in exponential form is:

94928 = 2⁴ × 17¹ × 349¹

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 94928

List of positive integer factors of 94928 that divides 94928 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272, 349, 698, 1396, 2792, 5584, 5933, 11866, 23732, 47464

Step-4: Factors of 94944

List of positive integer factors of 94944 that divides 94928 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 94928 and 94944. The biggest common factor number is the GCF number.
So the greatest common factor 94928 and 94944 is 16.

Also check out the Least Common Multiple of 94928 and 94944