What is the Greatest Common Factor of 22798 and 22818?

Greatest common factor (GCF) of 22798 and 22818 is 2.

GCF(22798,22818) = 2

We will now calculate the prime factors of 22798 and 22818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22798 and 22818.

How to find the GCF of 22798 and 22818?

We will first find the prime factorization of 22798 and 22818. After we will calculate the factors of 22798 and 22818 and find the biggest common factor number .

Step-1: Prime Factorization of 22798

Prime factors of 22798 are 2, 11399. Prime factorization of 22798 in exponential form is:

22798 = 2¹ × 11399¹

Step-2: Prime Factorization of 22818

Prime factors of 22818 are 2, 3, 3803. Prime factorization of 22818 in exponential form is:

22818 = 2¹ × 3¹ × 3803¹

Step-3: Factors of 22798

List of positive integer factors of 22798 that divides 22798 without a remainder.

1, 2, 11399

Step-4: Factors of 22818

List of positive integer factors of 22818 that divides 22798 without a remainder.

1, 2, 3, 6, 3803, 7606, 11409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22798 and 22818. The biggest common factor number is the GCF number.
So the greatest common factor 22798 and 22818 is 2.

Also check out the Least Common Multiple of 22798 and 22818