What is the Greatest Common Factor of 27250 and 27255?

Greatest common factor (GCF) of 27250 and 27255 is 5.

GCF(27250,27255) = 5

We will now calculate the prime factors of 27250 and 27255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27250 and 27255.

How to find the GCF of 27250 and 27255?

We will first find the prime factorization of 27250 and 27255. After we will calculate the factors of 27250 and 27255 and find the biggest common factor number .

Step-1: Prime Factorization of 27250

Prime factors of 27250 are 2, 5, 109. Prime factorization of 27250 in exponential form is:

27250 = 2¹ × 5³ × 109¹

Step-2: Prime Factorization of 27255

Prime factors of 27255 are 3, 5, 23, 79. Prime factorization of 27255 in exponential form is:

27255 = 3¹ × 5¹ × 23¹ × 79¹

Step-3: Factors of 27250

List of positive integer factors of 27250 that divides 27250 without a remainder.

1, 2, 5, 10, 25, 50, 109, 125, 218, 250, 545, 1090, 2725, 5450, 13625

Step-4: Factors of 27255

List of positive integer factors of 27255 that divides 27250 without a remainder.

1, 3, 5, 15, 23, 69, 79, 115, 237, 345, 395, 1185, 1817, 5451, 9085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27250 and 27255. The biggest common factor number is the GCF number.
So the greatest common factor 27250 and 27255 is 5.

Also check out the Least Common Multiple of 27250 and 27255