What is the Greatest Common Factor of 27213 and 27222?

Greatest common factor (GCF) of 27213 and 27222 is 3.

GCF(27213,27222) = 3

We will now calculate the prime factors of 27213 and 27222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27213 and 27222.

How to find the GCF of 27213 and 27222?

We will first find the prime factorization of 27213 and 27222. After we will calculate the factors of 27213 and 27222 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27222

Prime factors of 27222 are 2, 3, 13, 349. Prime factorization of 27222 in exponential form is:

27222 = 2¹ × 3¹ × 13¹ × 349¹

Step-3: Factors of 27213

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

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

Step-4: Factors of 27222

List of positive integer factors of 27222 that divides 27213 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 349, 698, 1047, 2094, 4537, 9074, 13611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27213 and 27222. The biggest common factor number is the GCF number.
So the greatest common factor 27213 and 27222 is 3.

Also check out the Least Common Multiple of 27213 and 27222