What is the Greatest Common Factor of 93704 and 93717?

Greatest common factor (GCF) of 93704 and 93717 is 13.

GCF(93704,93717) = 13

We will now calculate the prime factors of 93704 and 93717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93704 and 93717.

How to find the GCF of 93704 and 93717?

We will first find the prime factorization of 93704 and 93717. After we will calculate the factors of 93704 and 93717 and find the biggest common factor number .

Step-1: Prime Factorization of 93704

Prime factors of 93704 are 2, 13, 17, 53. Prime factorization of 93704 in exponential form is:

93704 = 2³ × 13¹ × 17¹ × 53¹

Step-2: 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-3: Factors of 93704

List of positive integer factors of 93704 that divides 93704 without a remainder.

1, 2, 4, 8, 13, 17, 26, 34, 52, 53, 68, 104, 106, 136, 212, 221, 424, 442, 689, 884, 901, 1378, 1768, 1802, 2756, 3604, 5512, 7208, 11713, 23426, 46852

Step-4: Factors of 93717

List of positive integer factors of 93717 that divides 93704 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93704 and 93717. The biggest common factor number is the GCF number.
So the greatest common factor 93704 and 93717 is 13.

Also check out the Least Common Multiple of 93704 and 93717