What is the Greatest Common Factor of 27075 and 27085?

Greatest common factor (GCF) of 27075 and 27085 is 5.

GCF(27075,27085) = 5

We will now calculate the prime factors of 27075 and 27085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27075 and 27085.

How to find the GCF of 27075 and 27085?

We will first find the prime factorization of 27075 and 27085. After we will calculate the factors of 27075 and 27085 and find the biggest common factor number .

Step-1: Prime Factorization of 27075

Prime factors of 27075 are 3, 5, 19. Prime factorization of 27075 in exponential form is:

27075 = 3¹ × 5² × 19²

Step-2: Prime Factorization of 27085

Prime factors of 27085 are 5, 5417. Prime factorization of 27085 in exponential form is:

27085 = 5¹ × 5417¹

Step-3: Factors of 27075

List of positive integer factors of 27075 that divides 27075 without a remainder.

1, 3, 5, 15, 19, 25, 57, 75, 95, 285, 361, 475, 1083, 1425, 1805, 5415, 9025

Step-4: Factors of 27085

List of positive integer factors of 27085 that divides 27075 without a remainder.

1, 5, 5417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27075 and 27085. The biggest common factor number is the GCF number.
So the greatest common factor 27075 and 27085 is 5.

Also check out the Least Common Multiple of 27075 and 27085