What is the Greatest Common Factor of 93198 and 93212?

Greatest common factor (GCF) of 93198 and 93212 is 14.

GCF(93198,93212) = 14

We will now calculate the prime factors of 93198 and 93212, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93198 and 93212.

How to find the GCF of 93198 and 93212?

We will first find the prime factorization of 93198 and 93212. After we will calculate the factors of 93198 and 93212 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 93212

Prime factors of 93212 are 2, 7, 3329. Prime factorization of 93212 in exponential form is:

93212 = 2² × 7¹ × 3329¹

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 93212

List of positive integer factors of 93212 that divides 93198 without a remainder.

1, 2, 4, 7, 14, 28, 3329, 6658, 13316, 23303, 46606

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93198 and 93212. The biggest common factor number is the GCF number.
So the greatest common factor 93198 and 93212 is 14.

Also check out the Least Common Multiple of 93198 and 93212