What is the Greatest Common Factor of 21857 and 21876?

Greatest common factor (GCF) of 21857 and 21876 is 1.

GCF(21857,21876) = 1

We will now calculate the prime factors of 21857 and 21876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21857 and 21876.

How to find the GCF of 21857 and 21876?

We will first find the prime factorization of 21857 and 21876. After we will calculate the factors of 21857 and 21876 and find the biggest common factor number .

Step-1: Prime Factorization of 21857

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

21857 = 11¹ × 1987¹

Step-2: Prime Factorization of 21876

Prime factors of 21876 are 2, 3, 1823. Prime factorization of 21876 in exponential form is:

21876 = 2² × 3¹ × 1823¹

Step-3: Factors of 21857

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

1, 11, 1987

Step-4: Factors of 21876

List of positive integer factors of 21876 that divides 21857 without a remainder.

1, 2, 3, 4, 6, 12, 1823, 3646, 5469, 7292, 10938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21857 and 21876. The biggest common factor number is the GCF number.
So the greatest common factor 21857 and 21876 is 1.

Also check out the Least Common Multiple of 21857 and 21876