What is the Greatest Common Factor of 22797 and 22813?

Greatest common factor (GCF) of 22797 and 22813 is 1.

GCF(22797,22813) = 1

We will now calculate the prime factors of 22797 and 22813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22797 and 22813.

How to find the GCF of 22797 and 22813?

We will first find the prime factorization of 22797 and 22813. After we will calculate the factors of 22797 and 22813 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22813

Prime factors of 22813 are 7, 3259. Prime factorization of 22813 in exponential form is:

22813 = 7¹ × 3259¹

Step-3: Factors of 22797

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

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

Step-4: Factors of 22813

List of positive integer factors of 22813 that divides 22797 without a remainder.

1, 7, 3259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22797 and 22813. The biggest common factor number is the GCF number.
So the greatest common factor 22797 and 22813 is 1.

Also check out the Least Common Multiple of 22797 and 22813