What is the Greatest Common Factor of 27198 and 27213?

Greatest common factor (GCF) of 27198 and 27213 is 3.

GCF(27198,27213) = 3

We will now calculate the prime factors of 27198 and 27213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27198 and 27213.

How to find the GCF of 27198 and 27213?

We will first find the prime factorization of 27198 and 27213. After we will calculate the factors of 27198 and 27213 and find the biggest common factor number .

Step-1: Prime Factorization of 27198

Prime factors of 27198 are 2, 3, 1511. Prime factorization of 27198 in exponential form is:

27198 = 2¹ × 3² × 1511¹

Step-2: Prime Factorization of 27213

Prime factors of 27213 are 3, 47, 193. Prime factorization of 27213 in exponential form is:

27213 = 3¹ × 47¹ × 193¹

Step-3: Factors of 27198

List of positive integer factors of 27198 that divides 27198 without a remainder.

1, 2, 3, 6, 9, 18, 1511, 3022, 4533, 9066, 13599

Step-4: Factors of 27213

List of positive integer factors of 27213 that divides 27198 without a remainder.

1, 3, 47, 141, 193, 579, 9071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27198 and 27213. The biggest common factor number is the GCF number.
So the greatest common factor 27198 and 27213 is 3.

Also check out the Least Common Multiple of 27198 and 27213