What is the Greatest Common Factor of 22780 and 22797?

Greatest common factor (GCF) of 22780 and 22797 is 17.

GCF(22780,22797) = 17

We will now calculate the prime factors of 22780 and 22797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22780 and 22797.

How to find the GCF of 22780 and 22797?

We will first find the prime factorization of 22780 and 22797. After we will calculate the factors of 22780 and 22797 and find the biggest common factor number .

Step-1: Prime Factorization of 22780

Prime factors of 22780 are 2, 5, 17, 67. Prime factorization of 22780 in exponential form is:

22780 = 2² × 5¹ × 17¹ × 67¹

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 22780

List of positive integer factors of 22780 that divides 22780 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 67, 68, 85, 134, 170, 268, 335, 340, 670, 1139, 1340, 2278, 4556, 5695, 11390

Step-4: Factors of 22797

List of positive integer factors of 22797 that divides 22780 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 22780 and 22797. The biggest common factor number is the GCF number.
So the greatest common factor 22780 and 22797 is 17.

Also check out the Least Common Multiple of 22780 and 22797