What is the Greatest Common Factor of 93733 and 93744?

Greatest common factor (GCF) of 93733 and 93744 is 1.

GCF(93733,93744) = 1

We will now calculate the prime factors of 93733 and 93744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93733 and 93744.

How to find the GCF of 93733 and 93744?

We will first find the prime factorization of 93733 and 93744. After we will calculate the factors of 93733 and 93744 and find the biggest common factor number .

Step-1: Prime Factorization of 93733

Prime factors of 93733 are 67, 1399. Prime factorization of 93733 in exponential form is:

93733 = 67¹ × 1399¹

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 93733

List of positive integer factors of 93733 that divides 93733 without a remainder.

1, 67, 1399

Step-4: Factors of 93744

List of positive integer factors of 93744 that divides 93733 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 93733 and 93744. The biggest common factor number is the GCF number.
So the greatest common factor 93733 and 93744 is 1.

Also check out the Least Common Multiple of 93733 and 93744