What is the Greatest Common Factor of 22269 and 22282?

Greatest common factor (GCF) of 22269 and 22282 is 13.

GCF(22269,22282) = 13

We will now calculate the prime factors of 22269 and 22282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22269 and 22282.

How to find the GCF of 22269 and 22282?

We will first find the prime factorization of 22269 and 22282. After we will calculate the factors of 22269 and 22282 and find the biggest common factor number .

Step-1: Prime Factorization of 22269

Prime factors of 22269 are 3, 13, 571. Prime factorization of 22269 in exponential form is:

22269 = 3¹ × 13¹ × 571¹

Step-2: Prime Factorization of 22282

Prime factors of 22282 are 2, 13, 857. Prime factorization of 22282 in exponential form is:

22282 = 2¹ × 13¹ × 857¹

Step-3: Factors of 22269

List of positive integer factors of 22269 that divides 22269 without a remainder.

1, 3, 13, 39, 571, 1713, 7423

Step-4: Factors of 22282

List of positive integer factors of 22282 that divides 22269 without a remainder.

1, 2, 13, 26, 857, 1714, 11141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22269 and 22282. The biggest common factor number is the GCF number.
So the greatest common factor 22269 and 22282 is 13.

Also check out the Least Common Multiple of 22269 and 22282