What is the Greatest Common Factor of 21857 and 21864?

Greatest common factor (GCF) of 21857 and 21864 is 1.

GCF(21857,21864) = 1

We will now calculate the prime factors of 21857 and 21864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21857 and 21864.

How to find the GCF of 21857 and 21864?

We will first find the prime factorization of 21857 and 21864. After we will calculate the factors of 21857 and 21864 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 21864

Prime factors of 21864 are 2, 3, 911. Prime factorization of 21864 in exponential form is:

21864 = 2³ × 3¹ × 911¹

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 21864

List of positive integer factors of 21864 that divides 21857 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 911, 1822, 2733, 3644, 5466, 7288, 10932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21857 and 21864. The biggest common factor number is the GCF number.
So the greatest common factor 21857 and 21864 is 1.

Also check out the Least Common Multiple of 21857 and 21864