What is the Greatest Common Factor of 22782 and 22797?

Greatest common factor (GCF) of 22782 and 22797 is 3.

GCF(22782,22797) = 3

We will now calculate the prime factors of 22782 and 22797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22782 and 22797.

How to find the GCF of 22782 and 22797?

We will first find the prime factorization of 22782 and 22797. After we will calculate the factors of 22782 and 22797 and find the biggest common factor number .

Step-1: Prime Factorization of 22782

Prime factors of 22782 are 2, 3, 3797. Prime factorization of 22782 in exponential form is:

22782 = 2¹ × 3¹ × 3797¹

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 22782

List of positive integer factors of 22782 that divides 22782 without a remainder.

1, 2, 3, 6, 3797, 7594, 11391

Step-4: Factors of 22797

List of positive integer factors of 22797 that divides 22782 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 22782 and 22797. The biggest common factor number is the GCF number.
So the greatest common factor 22782 and 22797 is 3.

Also check out the Least Common Multiple of 22782 and 22797