What is the Greatest Common Factor of 93717 and 93730?

Greatest common factor (GCF) of 93717 and 93730 is 13.

GCF(93717,93730) = 13

We will now calculate the prime factors of 93717 and 93730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93717 and 93730.

How to find the GCF of 93717 and 93730?

We will first find the prime factorization of 93717 and 93730. After we will calculate the factors of 93717 and 93730 and find the biggest common factor number .

Step-1: Prime Factorization of 93717

Prime factors of 93717 are 3, 13, 89. Prime factorization of 93717 in exponential form is:

93717 = 3⁴ × 13¹ × 89¹

Step-2: 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-3: Factors of 93717

List of positive integer factors of 93717 that divides 93717 without a remainder.

1, 3, 9, 13, 27, 39, 81, 89, 117, 267, 351, 801, 1053, 1157, 2403, 3471, 7209, 10413, 31239

Step-4: Factors of 93730

List of positive integer factors of 93730 that divides 93717 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93717 and 93730. The biggest common factor number is the GCF number.
So the greatest common factor 93717 and 93730 is 13.

Also check out the Least Common Multiple of 93717 and 93730