What is the Greatest Common Factor of 27396 and 27407?

Greatest common factor (GCF) of 27396 and 27407 is 1.

GCF(27396,27407) = 1

We will now calculate the prime factors of 27396 and 27407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27396 and 27407.

How to find the GCF of 27396 and 27407?

We will first find the prime factorization of 27396 and 27407. After we will calculate the factors of 27396 and 27407 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27407

Prime factors of 27407 are 27407. Prime factorization of 27407 in exponential form is:

27407 = 27407¹

Step-3: Factors of 27396

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

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

Step-4: Factors of 27407

List of positive integer factors of 27407 that divides 27396 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27396 and 27407. The biggest common factor number is the GCF number.
So the greatest common factor 27396 and 27407 is 1.

Also check out the Least Common Multiple of 27396 and 27407