What is the Greatest Common Factor of 93730 and 93744?

Greatest common factor (GCF) of 93730 and 93744 is 14.

GCF(93730,93744) = 14

We will now calculate the prime factors of 93730 and 93744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93730 and 93744.

How to find the GCF of 93730 and 93744?

We will first find the prime factorization of 93730 and 93744. After we will calculate the factors of 93730 and 93744 and find the biggest common factor number .

Step-1: Prime Factorization of 93730

Prime factors of 93730 are 2, 5, 7, 13, 103. Prime factorization of 93730 in exponential form is:

93730 = 2¹ × 5¹ × 7¹ × 13¹ × 103¹

Step-2: 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-3: Factors of 93730

List of positive integer factors of 93730 that divides 93730 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 103, 130, 182, 206, 455, 515, 721, 910, 1030, 1339, 1442, 2678, 3605, 6695, 7210, 9373, 13390, 18746, 46865

Step-4: Factors of 93744

List of positive integer factors of 93744 that divides 93730 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93730 and 93744. The biggest common factor number is the GCF number.
So the greatest common factor 93730 and 93744 is 14.

Also check out the Least Common Multiple of 93730 and 93744