What is the Greatest Common Factor of 22842 and 22857?

Greatest common factor (GCF) of 22842 and 22857 is 3.

GCF(22842,22857) = 3

We will now calculate the prime factors of 22842 and 22857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22842 and 22857.

How to find the GCF of 22842 and 22857?

We will first find the prime factorization of 22842 and 22857. After we will calculate the factors of 22842 and 22857 and find the biggest common factor number .

Step-1: Prime Factorization of 22842

Prime factors of 22842 are 2, 3, 47. Prime factorization of 22842 in exponential form is:

22842 = 2¹ × 3⁵ × 47¹

Step-2: Prime Factorization of 22857

Prime factors of 22857 are 3, 19, 401. Prime factorization of 22857 in exponential form is:

22857 = 3¹ × 19¹ × 401¹

Step-3: Factors of 22842

List of positive integer factors of 22842 that divides 22842 without a remainder.

1, 2, 3, 6, 9, 18, 27, 47, 54, 81, 94, 141, 162, 243, 282, 423, 486, 846, 1269, 2538, 3807, 7614, 11421

Step-4: Factors of 22857

List of positive integer factors of 22857 that divides 22842 without a remainder.

1, 3, 19, 57, 401, 1203, 7619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22842 and 22857. The biggest common factor number is the GCF number.
So the greatest common factor 22842 and 22857 is 3.

Also check out the Least Common Multiple of 22842 and 22857