What is the Greatest Common Factor of 27222 and 27235?

Greatest common factor (GCF) of 27222 and 27235 is 13.

GCF(27222,27235) = 13

We will now calculate the prime factors of 27222 and 27235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27222 and 27235.

How to find the GCF of 27222 and 27235?

We will first find the prime factorization of 27222 and 27235. After we will calculate the factors of 27222 and 27235 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27235

Prime factors of 27235 are 5, 13, 419. Prime factorization of 27235 in exponential form is:

27235 = 5¹ × 13¹ × 419¹

Step-3: Factors of 27222

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

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

Step-4: Factors of 27235

List of positive integer factors of 27235 that divides 27222 without a remainder.

1, 5, 13, 65, 419, 2095, 5447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27222 and 27235. The biggest common factor number is the GCF number.
So the greatest common factor 27222 and 27235 is 13.

Also check out the Least Common Multiple of 27222 and 27235