What is the Greatest Common Factor of 21837 and 21842?

Greatest common factor (GCF) of 21837 and 21842 is 1.

GCF(21837,21842) = 1

We will now calculate the prime factors of 21837 and 21842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21837 and 21842.

How to find the GCF of 21837 and 21842?

We will first find the prime factorization of 21837 and 21842. After we will calculate the factors of 21837 and 21842 and find the biggest common factor number .

Step-1: Prime Factorization of 21837

Prime factors of 21837 are 3, 29, 251. Prime factorization of 21837 in exponential form is:

21837 = 3¹ × 29¹ × 251¹

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 21837

List of positive integer factors of 21837 that divides 21837 without a remainder.

1, 3, 29, 87, 251, 753, 7279

Step-4: Factors of 21842

List of positive integer factors of 21842 that divides 21837 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21837 and 21842. The biggest common factor number is the GCF number.
So the greatest common factor 21837 and 21842 is 1.

Also check out the Least Common Multiple of 21837 and 21842