What is the Greatest Common Factor of 27852 and 27863?

Greatest common factor (GCF) of 27852 and 27863 is 11.

GCF(27852,27863) = 11

We will now calculate the prime factors of 27852 and 27863, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27852 and 27863.

How to find the GCF of 27852 and 27863?

We will first find the prime factorization of 27852 and 27863. After we will calculate the factors of 27852 and 27863 and find the biggest common factor number .

Step-1: Prime Factorization of 27852

Prime factors of 27852 are 2, 3, 11, 211. Prime factorization of 27852 in exponential form is:

27852 = 2² × 3¹ × 11¹ × 211¹

Step-2: Prime Factorization of 27863

Prime factors of 27863 are 11, 17, 149. Prime factorization of 27863 in exponential form is:

27863 = 11¹ × 17¹ × 149¹

Step-3: Factors of 27852

List of positive integer factors of 27852 that divides 27852 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 211, 422, 633, 844, 1266, 2321, 2532, 4642, 6963, 9284, 13926

Step-4: Factors of 27863

List of positive integer factors of 27863 that divides 27852 without a remainder.

1, 11, 17, 149, 187, 1639, 2533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27852 and 27863. The biggest common factor number is the GCF number.
So the greatest common factor 27852 and 27863 is 11.

Also check out the Least Common Multiple of 27852 and 27863