What is the Greatest Common Factor of 21837 and 21855?

Greatest common factor (GCF) of 21837 and 21855 is 3.

GCF(21837,21855) = 3

We will now calculate the prime factors of 21837 and 21855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21837 and 21855.

How to find the GCF of 21837 and 21855?

We will first find the prime factorization of 21837 and 21855. After we will calculate the factors of 21837 and 21855 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 21855

Prime factors of 21855 are 3, 5, 31, 47. Prime factorization of 21855 in exponential form is:

21855 = 3¹ × 5¹ × 31¹ × 47¹

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 21855

List of positive integer factors of 21855 that divides 21837 without a remainder.

1, 3, 5, 15, 31, 47, 93, 141, 155, 235, 465, 705, 1457, 4371, 7285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21837 and 21855. The biggest common factor number is the GCF number.
So the greatest common factor 21837 and 21855 is 3.

Also check out the Least Common Multiple of 21837 and 21855