What is the Greatest Common Factor of 27075 and 27095?

Greatest common factor (GCF) of 27075 and 27095 is 5.

GCF(27075,27095) = 5

We will now calculate the prime factors of 27075 and 27095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27075 and 27095.

How to find the GCF of 27075 and 27095?

We will first find the prime factorization of 27075 and 27095. After we will calculate the factors of 27075 and 27095 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 27095

Prime factors of 27095 are 5, 5419. Prime factorization of 27095 in exponential form is:

27095 = 5¹ × 5419¹

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 27095

List of positive integer factors of 27095 that divides 27075 without a remainder.

1, 5, 5419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27075 and 27095. The biggest common factor number is the GCF number.
So the greatest common factor 27075 and 27095 is 5.

Also check out the Least Common Multiple of 27075 and 27095