What is the Greatest Common Factor of 27380 and 27396?

Greatest common factor (GCF) of 27380 and 27396 is 4.

GCF(27380,27396) = 4

We will now calculate the prime factors of 27380 and 27396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27380 and 27396.

How to find the GCF of 27380 and 27396?

We will first find the prime factorization of 27380 and 27396. After we will calculate the factors of 27380 and 27396 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 27396

Prime factors of 27396 are 2, 3, 761. Prime factorization of 27396 in exponential form is:

27396 = 2² × 3² × 761¹

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 27396

List of positive integer factors of 27396 that divides 27380 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 761, 1522, 2283, 3044, 4566, 6849, 9132, 13698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27380 and 27396. The biggest common factor number is the GCF number.
So the greatest common factor 27380 and 27396 is 4.

Also check out the Least Common Multiple of 27380 and 27396