What is the Greatest Common Factor of 27380 and 27385?

Greatest common factor (GCF) of 27380 and 27385 is 5.

GCF(27380,27385) = 5

We will now calculate the prime factors of 27380 and 27385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27380 and 27385.

How to find the GCF of 27380 and 27385?

We will first find the prime factorization of 27380 and 27385. After we will calculate the factors of 27380 and 27385 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27385

Prime factors of 27385 are 5, 5477. Prime factorization of 27385 in exponential form is:

27385 = 5¹ × 5477¹

Step-3: Factors of 27380

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

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

Step-4: Factors of 27385

List of positive integer factors of 27385 that divides 27380 without a remainder.

1, 5, 5477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27380 and 27385. The biggest common factor number is the GCF number.
So the greatest common factor 27380 and 27385 is 5.

Also check out the Least Common Multiple of 27380 and 27385