What is the Greatest Common Factor of 93704 and 93721?

Greatest common factor (GCF) of 93704 and 93721 is 17.

GCF(93704,93721) = 17

We will now calculate the prime factors of 93704 and 93721, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93704 and 93721.

How to find the GCF of 93704 and 93721?

We will first find the prime factorization of 93704 and 93721. After we will calculate the factors of 93704 and 93721 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 93721

Prime factors of 93721 are 17, 37, 149. Prime factorization of 93721 in exponential form is:

93721 = 17¹ × 37¹ × 149¹

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 93721

List of positive integer factors of 93721 that divides 93704 without a remainder.

1, 17, 37, 149, 629, 2533, 5513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93704 and 93721. The biggest common factor number is the GCF number.
So the greatest common factor 93704 and 93721 is 17.

Also check out the Least Common Multiple of 93704 and 93721