What is the Greatest Common Factor of 22825 and 22842?

Greatest common factor (GCF) of 22825 and 22842 is 1.

GCF(22825,22842) = 1

We will now calculate the prime factors of 22825 and 22842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22825 and 22842.

How to find the GCF of 22825 and 22842?

We will first find the prime factorization of 22825 and 22842. After we will calculate the factors of 22825 and 22842 and find the biggest common factor number .

Step-1: Prime Factorization of 22825

Prime factors of 22825 are 5, 11, 83. Prime factorization of 22825 in exponential form is:

22825 = 5² × 11¹ × 83¹

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 22825

List of positive integer factors of 22825 that divides 22825 without a remainder.

1, 5, 11, 25, 55, 83, 275, 415, 913, 2075, 4565

Step-4: Factors of 22842

List of positive integer factors of 22842 that divides 22825 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 22825 and 22842. The biggest common factor number is the GCF number.
So the greatest common factor 22825 and 22842 is 1.

Also check out the Least Common Multiple of 22825 and 22842