What is the Greatest Common Factor of 22308 and 22318?

Greatest common factor (GCF) of 22308 and 22318 is 2.

GCF(22308,22318) = 2

We will now calculate the prime factors of 22308 and 22318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22308 and 22318.

How to find the GCF of 22308 and 22318?

We will first find the prime factorization of 22308 and 22318. After we will calculate the factors of 22308 and 22318 and find the biggest common factor number .

Step-1: Prime Factorization of 22308

Prime factors of 22308 are 2, 3, 11, 13. Prime factorization of 22308 in exponential form is:

22308 = 2² × 3¹ × 11¹ × 13²

Step-2: Prime Factorization of 22318

Prime factors of 22318 are 2, 11159. Prime factorization of 22318 in exponential form is:

22318 = 2¹ × 11159¹

Step-3: Factors of 22308

List of positive integer factors of 22308 that divides 22308 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 52, 66, 78, 132, 143, 156, 169, 286, 338, 429, 507, 572, 676, 858, 1014, 1716, 1859, 2028, 3718, 5577, 7436, 11154

Step-4: Factors of 22318

List of positive integer factors of 22318 that divides 22308 without a remainder.

1, 2, 11159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22308 and 22318. The biggest common factor number is the GCF number.
So the greatest common factor 22308 and 22318 is 2.

Also check out the Least Common Multiple of 22308 and 22318