What is the Greatest Common Factor of 21849 and 21867?

Greatest common factor (GCF) of 21849 and 21867 is 3.

GCF(21849,21867) = 3

We will now calculate the prime factors of 21849 and 21867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21849 and 21867.

How to find the GCF of 21849 and 21867?

We will first find the prime factorization of 21849 and 21867. After we will calculate the factors of 21849 and 21867 and find the biggest common factor number .

Step-1: Prime Factorization of 21849

Prime factors of 21849 are 3, 7283. Prime factorization of 21849 in exponential form is:

21849 = 3¹ × 7283¹

Step-2: Prime Factorization of 21867

Prime factors of 21867 are 3, 37, 197. Prime factorization of 21867 in exponential form is:

21867 = 3¹ × 37¹ × 197¹

Step-3: Factors of 21849

List of positive integer factors of 21849 that divides 21849 without a remainder.

1, 3, 7283

Step-4: Factors of 21867

List of positive integer factors of 21867 that divides 21849 without a remainder.

1, 3, 37, 111, 197, 591, 7289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21849 and 21867. The biggest common factor number is the GCF number.
So the greatest common factor 21849 and 21867 is 3.

Also check out the Least Common Multiple of 21849 and 21867