What is the Greatest Common Factor of 21837 and 21851?

Greatest common factor (GCF) of 21837 and 21851 is 1.

GCF(21837,21851) = 1

We will now calculate the prime factors of 21837 and 21851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21837 and 21851.

How to find the GCF of 21837 and 21851?

We will first find the prime factorization of 21837 and 21851. After we will calculate the factors of 21837 and 21851 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 21851

Prime factors of 21851 are 21851. Prime factorization of 21851 in exponential form is:

21851 = 21851¹

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 21851

List of positive integer factors of 21851 that divides 21837 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21837 and 21851. The biggest common factor number is the GCF number.
So the greatest common factor 21837 and 21851 is 1.

Also check out the Least Common Multiple of 21837 and 21851