What is the Greatest Common Factor of 92928 and 92944?

Greatest common factor (GCF) of 92928 and 92944 is 16.

GCF(92928,92944) = 16

We will now calculate the prime factors of 92928 and 92944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92928 and 92944.

How to find the GCF of 92928 and 92944?

We will first find the prime factorization of 92928 and 92944. After we will calculate the factors of 92928 and 92944 and find the biggest common factor number .

Step-1: Prime Factorization of 92928

Prime factors of 92928 are 2, 3, 11. Prime factorization of 92928 in exponential form is:

92928 = 2⁸ × 3¹ × 11²

Step-2: Prime Factorization of 92944

Prime factors of 92944 are 2, 37, 157. Prime factorization of 92944 in exponential form is:

92944 = 2⁴ × 37¹ × 157¹

Step-3: Factors of 92928

List of positive integer factors of 92928 that divides 92928 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 121, 128, 132, 176, 192, 242, 256, 264, 352, 363, 384, 484, 528, 704, 726, 768, 968, 1056, 1408, 1452, 1936, 2112, 2816, 2904, 3872, 4224, 5808, 7744, 8448, 11616, 15488, 23232, 30976, 46464

Step-4: Factors of 92944

List of positive integer factors of 92944 that divides 92928 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 157, 296, 314, 592, 628, 1256, 2512, 5809, 11618, 23236, 46472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92928 and 92944. The biggest common factor number is the GCF number.
So the greatest common factor 92928 and 92944 is 16.

Also check out the Least Common Multiple of 92928 and 92944