What is the Greatest Common Factor of 27885 and 27896?

Greatest common factor (GCF) of 27885 and 27896 is 11.

GCF(27885,27896) = 11

We will now calculate the prime factors of 27885 and 27896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27885 and 27896.

How to find the GCF of 27885 and 27896?

We will first find the prime factorization of 27885 and 27896. After we will calculate the factors of 27885 and 27896 and find the biggest common factor number .

Step-1: Prime Factorization of 27885

Prime factors of 27885 are 3, 5, 11, 13. Prime factorization of 27885 in exponential form is:

27885 = 3¹ × 5¹ × 11¹ × 13²

Step-2: Prime Factorization of 27896

Prime factors of 27896 are 2, 11, 317. Prime factorization of 27896 in exponential form is:

27896 = 2³ × 11¹ × 317¹

Step-3: Factors of 27885

List of positive integer factors of 27885 that divides 27885 without a remainder.

1, 3, 5, 11, 13, 15, 33, 39, 55, 65, 143, 165, 169, 195, 429, 507, 715, 845, 1859, 2145, 2535, 5577, 9295

Step-4: Factors of 27896

List of positive integer factors of 27896 that divides 27885 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 317, 634, 1268, 2536, 3487, 6974, 13948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27885 and 27896. The biggest common factor number is the GCF number.
So the greatest common factor 27885 and 27896 is 11.

Also check out the Least Common Multiple of 27885 and 27896