What is the Greatest Common Factor of 27261 and 27274?

Greatest common factor (GCF) of 27261 and 27274 is 13.

GCF(27261,27274) = 13

We will now calculate the prime factors of 27261 and 27274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27261 and 27274.

How to find the GCF of 27261 and 27274?

We will first find the prime factorization of 27261 and 27274. After we will calculate the factors of 27261 and 27274 and find the biggest common factor number .

Step-1: Prime Factorization of 27261

Prime factors of 27261 are 3, 13, 233. Prime factorization of 27261 in exponential form is:

27261 = 3² × 13¹ × 233¹

Step-2: Prime Factorization of 27274

Prime factors of 27274 are 2, 13, 1049. Prime factorization of 27274 in exponential form is:

27274 = 2¹ × 13¹ × 1049¹

Step-3: Factors of 27261

List of positive integer factors of 27261 that divides 27261 without a remainder.

1, 3, 9, 13, 39, 117, 233, 699, 2097, 3029, 9087

Step-4: Factors of 27274

List of positive integer factors of 27274 that divides 27261 without a remainder.

1, 2, 13, 26, 1049, 2098, 13637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27261 and 27274. The biggest common factor number is the GCF number.
So the greatest common factor 27261 and 27274 is 13.

Also check out the Least Common Multiple of 27261 and 27274