What is the Greatest Common Factor of 92916 and 92928?

Greatest common factor (GCF) of 92916 and 92928 is 12.

GCF(92916,92928) = 12

We will now calculate the prime factors of 92916 and 92928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92916 and 92928.

How to find the GCF of 92916 and 92928?

We will first find the prime factorization of 92916 and 92928. After we will calculate the factors of 92916 and 92928 and find the biggest common factor number .

Step-1: Prime Factorization of 92916

Prime factors of 92916 are 2, 3, 29, 89. Prime factorization of 92916 in exponential form is:

92916 = 2² × 3² × 29¹ × 89¹

Step-2: 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-3: Factors of 92916

List of positive integer factors of 92916 that divides 92916 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 29, 36, 58, 87, 89, 116, 174, 178, 261, 267, 348, 356, 522, 534, 801, 1044, 1068, 1602, 2581, 3204, 5162, 7743, 10324, 15486, 23229, 30972, 46458

Step-4: Factors of 92928

List of positive integer factors of 92928 that divides 92916 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92916 and 92928. The biggest common factor number is the GCF number.
So the greatest common factor 92916 and 92928 is 12.

Also check out the Least Common Multiple of 92916 and 92928