What is the Greatest Common Factor of 93691 and 93704?

Greatest common factor (GCF) of 93691 and 93704 is 13.

GCF(93691,93704) = 13

We will now calculate the prime factors of 93691 and 93704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93691 and 93704.

How to find the GCF of 93691 and 93704?

We will first find the prime factorization of 93691 and 93704. After we will calculate the factors of 93691 and 93704 and find the biggest common factor number .

Step-1: Prime Factorization of 93691

Prime factors of 93691 are 13, 7207. Prime factorization of 93691 in exponential form is:

93691 = 13¹ × 7207¹

Step-2: 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-3: Factors of 93691

List of positive integer factors of 93691 that divides 93691 without a remainder.

1, 13, 7207

Step-4: Factors of 93704

List of positive integer factors of 93704 that divides 93691 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93691 and 93704. The biggest common factor number is the GCF number.
So the greatest common factor 93691 and 93704 is 13.

Also check out the Least Common Multiple of 93691 and 93704