What is the Greatest Common Factor of 93670 and 93687?

Greatest common factor (GCF) of 93670 and 93687 is 17.

GCF(93670,93687) = 17

We will now calculate the prime factors of 93670 and 93687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93670 and 93687.

How to find the GCF of 93670 and 93687?

We will first find the prime factorization of 93670 and 93687. After we will calculate the factors of 93670 and 93687 and find the biggest common factor number .

Step-1: Prime Factorization of 93670

Prime factors of 93670 are 2, 5, 17, 19, 29. Prime factorization of 93670 in exponential form is:

93670 = 2¹ × 5¹ × 17¹ × 19¹ × 29¹

Step-2: Prime Factorization of 93687

Prime factors of 93687 are 3, 11, 17, 167. Prime factorization of 93687 in exponential form is:

93687 = 3¹ × 11¹ × 17¹ × 167¹

Step-3: Factors of 93670

List of positive integer factors of 93670 that divides 93670 without a remainder.

1, 2, 5, 10, 17, 19, 29, 34, 38, 58, 85, 95, 145, 170, 190, 290, 323, 493, 551, 646, 986, 1102, 1615, 2465, 2755, 3230, 4930, 5510, 9367, 18734, 46835

Step-4: Factors of 93687

List of positive integer factors of 93687 that divides 93670 without a remainder.

1, 3, 11, 17, 33, 51, 167, 187, 501, 561, 1837, 2839, 5511, 8517, 31229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93670 and 93687. The biggest common factor number is the GCF number.
So the greatest common factor 93670 and 93687 is 17.

Also check out the Least Common Multiple of 93670 and 93687