What is the Greatest Common Factor of 22790 and 22805?

Greatest common factor (GCF) of 22790 and 22805 is 5.

GCF(22790,22805) = 5

We will now calculate the prime factors of 22790 and 22805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22790 and 22805.

How to find the GCF of 22790 and 22805?

We will first find the prime factorization of 22790 and 22805. After we will calculate the factors of 22790 and 22805 and find the biggest common factor number .

Step-1: Prime Factorization of 22790

Prime factors of 22790 are 2, 5, 43, 53. Prime factorization of 22790 in exponential form is:

22790 = 2¹ × 5¹ × 43¹ × 53¹

Step-2: Prime Factorization of 22805

Prime factors of 22805 are 5, 4561. Prime factorization of 22805 in exponential form is:

22805 = 5¹ × 4561¹

Step-3: Factors of 22790

List of positive integer factors of 22790 that divides 22790 without a remainder.

1, 2, 5, 10, 43, 53, 86, 106, 215, 265, 430, 530, 2279, 4558, 11395

Step-4: Factors of 22805

List of positive integer factors of 22805 that divides 22790 without a remainder.

1, 5, 4561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22790 and 22805. The biggest common factor number is the GCF number.
So the greatest common factor 22790 and 22805 is 5.

Also check out the Least Common Multiple of 22790 and 22805