What is the Greatest Common Factor of 27265 and 27284?

Greatest common factor (GCF) of 27265 and 27284 is 19.

GCF(27265,27284) = 19

We will now calculate the prime factors of 27265 and 27284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27265 and 27284.

How to find the GCF of 27265 and 27284?

We will first find the prime factorization of 27265 and 27284. After we will calculate the factors of 27265 and 27284 and find the biggest common factor number .

Step-1: Prime Factorization of 27265

Prime factors of 27265 are 5, 7, 19, 41. Prime factorization of 27265 in exponential form is:

27265 = 5¹ × 7¹ × 19¹ × 41¹

Step-2: Prime Factorization of 27284

Prime factors of 27284 are 2, 19, 359. Prime factorization of 27284 in exponential form is:

27284 = 2² × 19¹ × 359¹

Step-3: Factors of 27265

List of positive integer factors of 27265 that divides 27265 without a remainder.

1, 5, 7, 19, 35, 41, 95, 133, 205, 287, 665, 779, 1435, 3895, 5453

Step-4: Factors of 27284

List of positive integer factors of 27284 that divides 27265 without a remainder.

1, 2, 4, 19, 38, 76, 359, 718, 1436, 6821, 13642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27265 and 27284. The biggest common factor number is the GCF number.
So the greatest common factor 27265 and 27284 is 19.

Also check out the Least Common Multiple of 27265 and 27284