What is the Greatest Common Factor of 93798 and 93816?

Greatest common factor (GCF) of 93798 and 93816 is 18.

GCF(93798,93816) = 18

We will now calculate the prime factors of 93798 and 93816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93798 and 93816.

How to find the GCF of 93798 and 93816?

We will first find the prime factorization of 93798 and 93816. After we will calculate the factors of 93798 and 93816 and find the biggest common factor number .

Step-1: Prime Factorization of 93798

Prime factors of 93798 are 2, 3, 193. Prime factorization of 93798 in exponential form is:

93798 = 2¹ × 3⁵ × 193¹

Step-2: Prime Factorization of 93816

Prime factors of 93816 are 2, 3, 1303. Prime factorization of 93816 in exponential form is:

93816 = 2³ × 3² × 1303¹

Step-3: Factors of 93798

List of positive integer factors of 93798 that divides 93798 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 193, 243, 386, 486, 579, 1158, 1737, 3474, 5211, 10422, 15633, 31266, 46899

Step-4: Factors of 93816

List of positive integer factors of 93816 that divides 93798 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1303, 2606, 3909, 5212, 7818, 10424, 11727, 15636, 23454, 31272, 46908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93798 and 93816. The biggest common factor number is the GCF number.
So the greatest common factor 93798 and 93816 is 18.

Also check out the Least Common Multiple of 93798 and 93816