What is the Greatest Common Factor of 22302 and 22309?

Greatest common factor (GCF) of 22302 and 22309 is 7.

GCF(22302,22309) = 7

We will now calculate the prime factors of 22302 and 22309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22302 and 22309.

How to find the GCF of 22302 and 22309?

We will first find the prime factorization of 22302 and 22309. After we will calculate the factors of 22302 and 22309 and find the biggest common factor number .

Step-1: Prime Factorization of 22302

Prime factors of 22302 are 2, 3, 7, 59. Prime factorization of 22302 in exponential form is:

22302 = 2¹ × 3³ × 7¹ × 59¹

Step-2: Prime Factorization of 22309

Prime factors of 22309 are 7, 3187. Prime factorization of 22309 in exponential form is:

22309 = 7¹ × 3187¹

Step-3: Factors of 22302

List of positive integer factors of 22302 that divides 22302 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 59, 63, 118, 126, 177, 189, 354, 378, 413, 531, 826, 1062, 1239, 1593, 2478, 3186, 3717, 7434, 11151

Step-4: Factors of 22309

List of positive integer factors of 22309 that divides 22302 without a remainder.

1, 7, 3187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22302 and 22309. The biggest common factor number is the GCF number.
So the greatest common factor 22302 and 22309 is 7.

Also check out the Least Common Multiple of 22302 and 22309