What is the Greatest Common Factor of 27834 and 27852?

Greatest common factor (GCF) of 27834 and 27852 is 6.

GCF(27834,27852) = 6

We will now calculate the prime factors of 27834 and 27852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27834 and 27852.

How to find the GCF of 27834 and 27852?

We will first find the prime factorization of 27834 and 27852. After we will calculate the factors of 27834 and 27852 and find the biggest common factor number .

Step-1: Prime Factorization of 27834

Prime factors of 27834 are 2, 3, 4639. Prime factorization of 27834 in exponential form is:

27834 = 2¹ × 3¹ × 4639¹

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 27834

List of positive integer factors of 27834 that divides 27834 without a remainder.

1, 2, 3, 6, 4639, 9278, 13917

Step-4: Factors of 27852

List of positive integer factors of 27852 that divides 27834 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 27834 and 27852. The biggest common factor number is the GCF number.
So the greatest common factor 27834 and 27852 is 6.

Also check out the Least Common Multiple of 27834 and 27852