What is the Greatest Common Factor of 27375 and 27380?

Greatest common factor (GCF) of 27375 and 27380 is 5.

GCF(27375,27380) = 5

We will now calculate the prime factors of 27375 and 27380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27375 and 27380.

How to find the GCF of 27375 and 27380?

We will first find the prime factorization of 27375 and 27380. After we will calculate the factors of 27375 and 27380 and find the biggest common factor number .

Step-1: Prime Factorization of 27375

Prime factors of 27375 are 3, 5, 73. Prime factorization of 27375 in exponential form is:

27375 = 3¹ × 5³ × 73¹

Step-2: Prime Factorization of 27380

Prime factors of 27380 are 2, 5, 37. Prime factorization of 27380 in exponential form is:

27380 = 2² × 5¹ × 37²

Step-3: Factors of 27375

List of positive integer factors of 27375 that divides 27375 without a remainder.

1, 3, 5, 15, 25, 73, 75, 125, 219, 365, 375, 1095, 1825, 5475, 9125

Step-4: Factors of 27380

List of positive integer factors of 27380 that divides 27375 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740, 1369, 2738, 5476, 6845, 13690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27375 and 27380. The biggest common factor number is the GCF number.
So the greatest common factor 27375 and 27380 is 5.

Also check out the Least Common Multiple of 27375 and 27380