What is the Greatest Common Factor of 27396 and 27408?

Greatest common factor (GCF) of 27396 and 27408 is 12.

GCF(27396,27408) = 12

We will now calculate the prime factors of 27396 and 27408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27396 and 27408.

How to find the GCF of 27396 and 27408?

We will first find the prime factorization of 27396 and 27408. After we will calculate the factors of 27396 and 27408 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 27408

Prime factors of 27408 are 2, 3, 571. Prime factorization of 27408 in exponential form is:

27408 = 2⁴ × 3¹ × 571¹

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 27408

List of positive integer factors of 27408 that divides 27396 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 571, 1142, 1713, 2284, 3426, 4568, 6852, 9136, 13704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27396 and 27408. The biggest common factor number is the GCF number.
So the greatest common factor 27396 and 27408 is 12.

Also check out the Least Common Multiple of 27396 and 27408