What is the Greatest Common Factor of 21834 and 21852?

Greatest common factor (GCF) of 21834 and 21852 is 18.

GCF(21834,21852) = 18

We will now calculate the prime factors of 21834 and 21852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21834 and 21852.

How to find the GCF of 21834 and 21852?

We will first find the prime factorization of 21834 and 21852. After we will calculate the factors of 21834 and 21852 and find the biggest common factor number .

Step-1: Prime Factorization of 21834

Prime factors of 21834 are 2, 3, 1213. Prime factorization of 21834 in exponential form is:

21834 = 2¹ × 3² × 1213¹

Step-2: Prime Factorization of 21852

Prime factors of 21852 are 2, 3, 607. Prime factorization of 21852 in exponential form is:

21852 = 2² × 3² × 607¹

Step-3: Factors of 21834

List of positive integer factors of 21834 that divides 21834 without a remainder.

1, 2, 3, 6, 9, 18, 1213, 2426, 3639, 7278, 10917

Step-4: Factors of 21852

List of positive integer factors of 21852 that divides 21834 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 607, 1214, 1821, 2428, 3642, 5463, 7284, 10926

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21834 and 21852. The biggest common factor number is the GCF number.
So the greatest common factor 21834 and 21852 is 18.

Also check out the Least Common Multiple of 21834 and 21852