What is the Greatest Common Factor of 21844 and 21857?

Greatest common factor (GCF) of 21844 and 21857 is 1.

GCF(21844,21857) = 1

We will now calculate the prime factors of 21844 and 21857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21844 and 21857.

How to find the GCF of 21844 and 21857?

We will first find the prime factorization of 21844 and 21857. After we will calculate the factors of 21844 and 21857 and find the biggest common factor number .

Step-1: Prime Factorization of 21844

Prime factors of 21844 are 2, 43, 127. Prime factorization of 21844 in exponential form is:

21844 = 2² × 43¹ × 127¹

Step-2: Prime Factorization of 21857

Prime factors of 21857 are 11, 1987. Prime factorization of 21857 in exponential form is:

21857 = 11¹ × 1987¹

Step-3: Factors of 21844

List of positive integer factors of 21844 that divides 21844 without a remainder.

1, 2, 4, 43, 86, 127, 172, 254, 508, 5461, 10922

Step-4: Factors of 21857

List of positive integer factors of 21857 that divides 21844 without a remainder.

1, 11, 1987

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21844 and 21857. The biggest common factor number is the GCF number.
So the greatest common factor 21844 and 21857 is 1.

Also check out the Least Common Multiple of 21844 and 21857