What is the Greatest Common Factor of 27260 and 27266?

Greatest common factor (GCF) of 27260 and 27266 is 2.

GCF(27260,27266) = 2

We will now calculate the prime factors of 27260 and 27266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27260 and 27266.

How to find the GCF of 27260 and 27266?

We will first find the prime factorization of 27260 and 27266. After we will calculate the factors of 27260 and 27266 and find the biggest common factor number .

Step-1: Prime Factorization of 27260

Prime factors of 27260 are 2, 5, 29, 47. Prime factorization of 27260 in exponential form is:

27260 = 2² × 5¹ × 29¹ × 47¹

Step-2: Prime Factorization of 27266

Prime factors of 27266 are 2, 13633. Prime factorization of 27266 in exponential form is:

27266 = 2¹ × 13633¹

Step-3: Factors of 27260

List of positive integer factors of 27260 that divides 27260 without a remainder.

1, 2, 4, 5, 10, 20, 29, 47, 58, 94, 116, 145, 188, 235, 290, 470, 580, 940, 1363, 2726, 5452, 6815, 13630

Step-4: Factors of 27266

List of positive integer factors of 27266 that divides 27260 without a remainder.

1, 2, 13633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27260 and 27266. The biggest common factor number is the GCF number.
So the greatest common factor 27260 and 27266 is 2.

Also check out the Least Common Multiple of 27260 and 27266