What is the Greatest Common Factor of 22785 and 22805?

Greatest common factor (GCF) of 22785 and 22805 is 5.

GCF(22785,22805) = 5

We will now calculate the prime factors of 22785 and 22805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22785 and 22805.

How to find the GCF of 22785 and 22805?

We will first find the prime factorization of 22785 and 22805. After we will calculate the factors of 22785 and 22805 and find the biggest common factor number .

Step-1: Prime Factorization of 22785

Prime factors of 22785 are 3, 5, 7, 31. Prime factorization of 22785 in exponential form is:

22785 = 3¹ × 5¹ × 7² × 31¹

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 22785

List of positive integer factors of 22785 that divides 22785 without a remainder.

1, 3, 5, 7, 15, 21, 31, 35, 49, 93, 105, 147, 155, 217, 245, 465, 651, 735, 1085, 1519, 3255, 4557, 7595

Step-4: Factors of 22805

List of positive integer factors of 22805 that divides 22785 without a remainder.

1, 5, 4561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22785 and 22805. The biggest common factor number is the GCF number.
So the greatest common factor 22785 and 22805 is 5.

Also check out the Least Common Multiple of 22785 and 22805