What is the Greatest Common Factor of 93795 and 93808?

Greatest common factor (GCF) of 93795 and 93808 is 13.

GCF(93795,93808) = 13

We will now calculate the prime factors of 93795 and 93808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93795 and 93808.

How to find the GCF of 93795 and 93808?

We will first find the prime factorization of 93795 and 93808. After we will calculate the factors of 93795 and 93808 and find the biggest common factor number .

Step-1: Prime Factorization of 93795

Prime factors of 93795 are 3, 5, 13, 37. Prime factorization of 93795 in exponential form is:

93795 = 3¹ × 5¹ × 13² × 37¹

Step-2: Prime Factorization of 93808

Prime factors of 93808 are 2, 11, 13, 41. Prime factorization of 93808 in exponential form is:

93808 = 2⁴ × 11¹ × 13¹ × 41¹

Step-3: Factors of 93795

List of positive integer factors of 93795 that divides 93795 without a remainder.

1, 3, 5, 13, 15, 37, 39, 65, 111, 169, 185, 195, 481, 507, 555, 845, 1443, 2405, 2535, 6253, 7215, 18759, 31265

Step-4: Factors of 93808

List of positive integer factors of 93808 that divides 93795 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 41, 44, 52, 82, 88, 104, 143, 164, 176, 208, 286, 328, 451, 533, 572, 656, 902, 1066, 1144, 1804, 2132, 2288, 3608, 4264, 5863, 7216, 8528, 11726, 23452, 46904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93795 and 93808. The biggest common factor number is the GCF number.
So the greatest common factor 93795 and 93808 is 13.

Also check out the Least Common Multiple of 93795 and 93808