What is the Greatest Common Factor of 93744 and 93762?

Greatest common factor (GCF) of 93744 and 93762 is 18.

GCF(93744,93762) = 18

We will now calculate the prime factors of 93744 and 93762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93744 and 93762.

How to find the GCF of 93744 and 93762?

We will first find the prime factorization of 93744 and 93762. After we will calculate the factors of 93744 and 93762 and find the biggest common factor number .

Step-1: Prime Factorization of 93744

Prime factors of 93744 are 2, 3, 7, 31. Prime factorization of 93744 in exponential form is:

93744 = 2⁴ × 3³ × 7¹ × 31¹

Step-2: Prime Factorization of 93762

Prime factors of 93762 are 2, 3, 5209. Prime factorization of 93762 in exponential form is:

93762 = 2¹ × 3² × 5209¹

Step-3: Factors of 93744

List of positive integer factors of 93744 that divides 93744 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 31, 36, 42, 48, 54, 56, 62, 63, 72, 84, 93, 108, 112, 124, 126, 144, 168, 186, 189, 216, 217, 248, 252, 279, 336, 372, 378, 432, 434, 496, 504, 558, 651, 744, 756, 837, 868, 1008, 1116, 1302, 1488, 1512, 1674, 1736, 1953, 2232, 2604, 3024, 3348, 3472, 3906, 4464, 5208, 5859, 6696, 7812, 10416, 11718, 13392, 15624, 23436, 31248, 46872

Step-4: Factors of 93762

List of positive integer factors of 93762 that divides 93744 without a remainder.

1, 2, 3, 6, 9, 18, 5209, 10418, 15627, 31254, 46881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93744 and 93762. The biggest common factor number is the GCF number.
So the greatest common factor 93744 and 93762 is 18.

Also check out the Least Common Multiple of 93744 and 93762