What is the Greatest Common Factor of 93744 and 93758?

Greatest common factor (GCF) of 93744 and 93758 is 14.

GCF(93744,93758) = 14

We will now calculate the prime factors of 93744 and 93758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93744 and 93758.

How to find the GCF of 93744 and 93758?

We will first find the prime factorization of 93744 and 93758. After we will calculate the factors of 93744 and 93758 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 93758

Prime factors of 93758 are 2, 7, 37, 181. Prime factorization of 93758 in exponential form is:

93758 = 2¹ × 7¹ × 37¹ × 181¹

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 93758

List of positive integer factors of 93758 that divides 93744 without a remainder.

1, 2, 7, 14, 37, 74, 181, 259, 362, 518, 1267, 2534, 6697, 13394, 46879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93744 and 93758. The biggest common factor number is the GCF number.
So the greatest common factor 93744 and 93758 is 14.

Also check out the Least Common Multiple of 93744 and 93758