What is the Greatest Common Factor of 92928 and 92940?

Greatest common factor (GCF) of 92928 and 92940 is 12.

GCF(92928,92940) = 12

We will now calculate the prime factors of 92928 and 92940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92928 and 92940.

How to find the GCF of 92928 and 92940?

We will first find the prime factorization of 92928 and 92940. After we will calculate the factors of 92928 and 92940 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 92940

Prime factors of 92940 are 2, 3, 5, 1549. Prime factorization of 92940 in exponential form is:

92940 = 2² × 3¹ × 5¹ × 1549¹

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 92940

List of positive integer factors of 92940 that divides 92928 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1549, 3098, 4647, 6196, 7745, 9294, 15490, 18588, 23235, 30980, 46470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92928 and 92940. The biggest common factor number is the GCF number.
So the greatest common factor 92928 and 92940 is 12.

Also check out the Least Common Multiple of 92928 and 92940