What is the Greatest Common Factor of 93198 and 93213?

Greatest common factor (GCF) of 93198 and 93213 is 3.

GCF(93198,93213) = 3

We will now calculate the prime factors of 93198 and 93213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93198 and 93213.

How to find the GCF of 93198 and 93213?

We will first find the prime factorization of 93198 and 93213. After we will calculate the factors of 93198 and 93213 and find the biggest common factor number .

Step-1: Prime Factorization of 93198

Prime factors of 93198 are 2, 3, 7, 317. Prime factorization of 93198 in exponential form is:

93198 = 2¹ × 3¹ × 7² × 317¹

Step-2: Prime Factorization of 93213

Prime factors of 93213 are 3, 10357. Prime factorization of 93213 in exponential form is:

93213 = 3² × 10357¹

Step-3: Factors of 93198

List of positive integer factors of 93198 that divides 93198 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294, 317, 634, 951, 1902, 2219, 4438, 6657, 13314, 15533, 31066, 46599

Step-4: Factors of 93213

List of positive integer factors of 93213 that divides 93198 without a remainder.

1, 3, 9, 10357, 31071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93198 and 93213. The biggest common factor number is the GCF number.
So the greatest common factor 93198 and 93213 is 3.

Also check out the Least Common Multiple of 93198 and 93213