What is the Greatest Common Factor of 27380 and 27392?

Greatest common factor (GCF) of 27380 and 27392 is 4.

GCF(27380,27392) = 4

We will now calculate the prime factors of 27380 and 27392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27380 and 27392.

How to find the GCF of 27380 and 27392?

We will first find the prime factorization of 27380 and 27392. After we will calculate the factors of 27380 and 27392 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 27392

Prime factors of 27392 are 2, 107. Prime factorization of 27392 in exponential form is:

27392 = 2⁸ × 107¹

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 27392

List of positive integer factors of 27392 that divides 27380 without a remainder.

1, 2, 4, 8, 16, 32, 64, 107, 128, 214, 256, 428, 856, 1712, 3424, 6848, 13696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27380 and 27392. The biggest common factor number is the GCF number.
So the greatest common factor 27380 and 27392 is 4.

Also check out the Least Common Multiple of 27380 and 27392