What is the Greatest Common Factor of 22230 and 22249?

Greatest common factor (GCF) of 22230 and 22249 is 19.

GCF(22230,22249) = 19

We will now calculate the prime factors of 22230 and 22249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22230 and 22249.

How to find the GCF of 22230 and 22249?

We will first find the prime factorization of 22230 and 22249. After we will calculate the factors of 22230 and 22249 and find the biggest common factor number .

Step-1: Prime Factorization of 22230

Prime factors of 22230 are 2, 3, 5, 13, 19. Prime factorization of 22230 in exponential form is:

22230 = 2¹ × 3² × 5¹ × 13¹ × 19¹

Step-2: Prime Factorization of 22249

Prime factors of 22249 are 19, 1171. Prime factorization of 22249 in exponential form is:

22249 = 19¹ × 1171¹

Step-3: Factors of 22230

List of positive integer factors of 22230 that divides 22230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 19, 26, 30, 38, 39, 45, 57, 65, 78, 90, 95, 114, 117, 130, 171, 190, 195, 234, 247, 285, 342, 390, 494, 570, 585, 741, 855, 1170, 1235, 1482, 1710, 2223, 2470, 3705, 4446, 7410, 11115

Step-4: Factors of 22249

List of positive integer factors of 22249 that divides 22230 without a remainder.

1, 19, 1171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22230 and 22249. The biggest common factor number is the GCF number.
So the greatest common factor 22230 and 22249 is 19.

Also check out the Least Common Multiple of 22230 and 22249