What is the Greatest Common Factor of 22830 and 22842?

Greatest common factor (GCF) of 22830 and 22842 is 6.

GCF(22830,22842) = 6

We will now calculate the prime factors of 22830 and 22842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22830 and 22842.

How to find the GCF of 22830 and 22842?

We will first find the prime factorization of 22830 and 22842. After we will calculate the factors of 22830 and 22842 and find the biggest common factor number .

Step-1: Prime Factorization of 22830

Prime factors of 22830 are 2, 3, 5, 761. Prime factorization of 22830 in exponential form is:

22830 = 2¹ × 3¹ × 5¹ × 761¹

Step-2: 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-3: Factors of 22830

List of positive integer factors of 22830 that divides 22830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 761, 1522, 2283, 3805, 4566, 7610, 11415

Step-4: Factors of 22842

List of positive integer factors of 22842 that divides 22830 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22830 and 22842. The biggest common factor number is the GCF number.
So the greatest common factor 22830 and 22842 is 6.

Also check out the Least Common Multiple of 22830 and 22842