What is the Greatest Common Factor of 21834 and 21842?

Greatest common factor (GCF) of 21834 and 21842 is 2.

GCF(21834,21842) = 2

We will now calculate the prime factors of 21834 and 21842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21834 and 21842.

How to find the GCF of 21834 and 21842?

We will first find the prime factorization of 21834 and 21842. After we will calculate the factors of 21834 and 21842 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 21842

Prime factors of 21842 are 2, 67, 163. Prime factorization of 21842 in exponential form is:

21842 = 2¹ × 67¹ × 163¹

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 21842

List of positive integer factors of 21842 that divides 21834 without a remainder.

1, 2, 67, 134, 163, 326, 10921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21834 and 21842. The biggest common factor number is the GCF number.
So the greatest common factor 21834 and 21842 is 2.

Also check out the Least Common Multiple of 21834 and 21842