What is the Greatest Common Factor of 27075 and 27080?

Greatest common factor (GCF) of 27075 and 27080 is 5.

GCF(27075,27080) = 5

We will now calculate the prime factors of 27075 and 27080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27075 and 27080.

How to find the GCF of 27075 and 27080?

We will first find the prime factorization of 27075 and 27080. After we will calculate the factors of 27075 and 27080 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 27080

Prime factors of 27080 are 2, 5, 677. Prime factorization of 27080 in exponential form is:

27080 = 2³ × 5¹ × 677¹

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 27080

List of positive integer factors of 27080 that divides 27075 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 677, 1354, 2708, 3385, 5416, 6770, 13540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27075 and 27080. The biggest common factor number is the GCF number.
So the greatest common factor 27075 and 27080 is 5.

Also check out the Least Common Multiple of 27075 and 27080