What is the Greatest Common Factor of 93744 and 93761?

Greatest common factor (GCF) of 93744 and 93761 is 1.

GCF(93744,93761) = 1

We will now calculate the prime factors of 93744 and 93761, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93744 and 93761.

How to find the GCF of 93744 and 93761?

We will first find the prime factorization of 93744 and 93761. After we will calculate the factors of 93744 and 93761 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 93761

Prime factors of 93761 are 93761. Prime factorization of 93761 in exponential form is:

93761 = 93761¹

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 93761

List of positive integer factors of 93761 that divides 93744 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93744 and 93761. The biggest common factor number is the GCF number.
So the greatest common factor 93744 and 93761 is 1.

Also check out the Least Common Multiple of 93744 and 93761