What is the Greatest Common Factor of 27808 and 27819?

Greatest common factor (GCF) of 27808 and 27819 is 11.

GCF(27808,27819) = 11

We will now calculate the prime factors of 27808 and 27819, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27808 and 27819.

How to find the GCF of 27808 and 27819?

We will first find the prime factorization of 27808 and 27819. After we will calculate the factors of 27808 and 27819 and find the biggest common factor number .

Step-1: Prime Factorization of 27808

Prime factors of 27808 are 2, 11, 79. Prime factorization of 27808 in exponential form is:

27808 = 2⁵ × 11¹ × 79¹

Step-2: Prime Factorization of 27819

Prime factors of 27819 are 3, 11, 281. Prime factorization of 27819 in exponential form is:

27819 = 3² × 11¹ × 281¹

Step-3: Factors of 27808

List of positive integer factors of 27808 that divides 27808 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 79, 88, 158, 176, 316, 352, 632, 869, 1264, 1738, 2528, 3476, 6952, 13904

Step-4: Factors of 27819

List of positive integer factors of 27819 that divides 27808 without a remainder.

1, 3, 9, 11, 33, 99, 281, 843, 2529, 3091, 9273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27808 and 27819. The biggest common factor number is the GCF number.
So the greatest common factor 27808 and 27819 is 11.

Also check out the Least Common Multiple of 27808 and 27819