What is the Greatest Common Factor of 22785 and 22797?

Greatest common factor (GCF) of 22785 and 22797 is 3.

GCF(22785,22797) = 3

We will now calculate the prime factors of 22785 and 22797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22785 and 22797.

How to find the GCF of 22785 and 22797?

We will first find the prime factorization of 22785 and 22797. After we will calculate the factors of 22785 and 22797 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 22797

Prime factors of 22797 are 3, 17, 149. Prime factorization of 22797 in exponential form is:

22797 = 3² × 17¹ × 149¹

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 22797

List of positive integer factors of 22797 that divides 22785 without a remainder.

1, 3, 9, 17, 51, 149, 153, 447, 1341, 2533, 7599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22785 and 22797. The biggest common factor number is the GCF number.
So the greatest common factor 22785 and 22797 is 3.

Also check out the Least Common Multiple of 22785 and 22797