What is the Greatest Common Factor of 27368 and 27379?

Greatest common factor (GCF) of 27368 and 27379 is 11.

GCF(27368,27379) = 11

We will now calculate the prime factors of 27368 and 27379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27368 and 27379.

How to find the GCF of 27368 and 27379?

We will first find the prime factorization of 27368 and 27379. After we will calculate the factors of 27368 and 27379 and find the biggest common factor number .

Step-1: Prime Factorization of 27368

Prime factors of 27368 are 2, 11, 311. Prime factorization of 27368 in exponential form is:

27368 = 2³ × 11¹ × 311¹

Step-2: Prime Factorization of 27379

Prime factors of 27379 are 11, 19, 131. Prime factorization of 27379 in exponential form is:

27379 = 11¹ × 19¹ × 131¹

Step-3: Factors of 27368

List of positive integer factors of 27368 that divides 27368 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 311, 622, 1244, 2488, 3421, 6842, 13684

Step-4: Factors of 27379

List of positive integer factors of 27379 that divides 27368 without a remainder.

1, 11, 19, 131, 209, 1441, 2489

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27368 and 27379. The biggest common factor number is the GCF number.
So the greatest common factor 27368 and 27379 is 11.

Also check out the Least Common Multiple of 27368 and 27379