What is the Greatest Common Factor of 27837 and 27852?

Greatest common factor (GCF) of 27837 and 27852 is 3.

GCF(27837,27852) = 3

We will now calculate the prime factors of 27837 and 27852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27837 and 27852.

How to find the GCF of 27837 and 27852?

We will first find the prime factorization of 27837 and 27852. After we will calculate the factors of 27837 and 27852 and find the biggest common factor number .

Step-1: Prime Factorization of 27837

Prime factors of 27837 are 3, 1031. Prime factorization of 27837 in exponential form is:

27837 = 3³ × 1031¹

Step-2: 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-3: Factors of 27837

List of positive integer factors of 27837 that divides 27837 without a remainder.

1, 3, 9, 27, 1031, 3093, 9279

Step-4: Factors of 27852

List of positive integer factors of 27852 that divides 27837 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27837 and 27852. The biggest common factor number is the GCF number.
So the greatest common factor 27837 and 27852 is 3.

Also check out the Least Common Multiple of 27837 and 27852