What is the Greatest Common Factor of 27297 and 27302?

Greatest common factor (GCF) of 27297 and 27302 is 1.

GCF(27297,27302) = 1

We will now calculate the prime factors of 27297 and 27302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27297 and 27302.

How to find the GCF of 27297 and 27302?

We will first find the prime factorization of 27297 and 27302. After we will calculate the factors of 27297 and 27302 and find the biggest common factor number .

Step-1: Prime Factorization of 27297

Prime factors of 27297 are 3, 337. Prime factorization of 27297 in exponential form is:

27297 = 3⁴ × 337¹

Step-2: Prime Factorization of 27302

Prime factors of 27302 are 2, 11, 17, 73. Prime factorization of 27302 in exponential form is:

27302 = 2¹ × 11¹ × 17¹ × 73¹

Step-3: Factors of 27297

List of positive integer factors of 27297 that divides 27297 without a remainder.

1, 3, 9, 27, 81, 337, 1011, 3033, 9099

Step-4: Factors of 27302

List of positive integer factors of 27302 that divides 27297 without a remainder.

1, 2, 11, 17, 22, 34, 73, 146, 187, 374, 803, 1241, 1606, 2482, 13651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27297 and 27302. The biggest common factor number is the GCF number.
So the greatest common factor 27297 and 27302 is 1.

Also check out the Least Common Multiple of 27297 and 27302