What is the Greatest Common Factor of 93684 and 93704?

Greatest common factor (GCF) of 93684 and 93704 is 4.

GCF(93684,93704) = 4

We will now calculate the prime factors of 93684 and 93704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93684 and 93704.

How to find the GCF of 93684 and 93704?

We will first find the prime factorization of 93684 and 93704. After we will calculate the factors of 93684 and 93704 and find the biggest common factor number .

Step-1: Prime Factorization of 93684

Prime factors of 93684 are 2, 3, 37, 211. Prime factorization of 93684 in exponential form is:

93684 = 2² × 3¹ × 37¹ × 211¹

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 93684

List of positive integer factors of 93684 that divides 93684 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 211, 222, 422, 444, 633, 844, 1266, 2532, 7807, 15614, 23421, 31228, 46842

Step-4: Factors of 93704

List of positive integer factors of 93704 that divides 93684 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 93684 and 93704. The biggest common factor number is the GCF number.
So the greatest common factor 93684 and 93704 is 4.

Also check out the Least Common Multiple of 93684 and 93704