What is the Greatest Common Factor of 22230 and 22248?

Greatest common factor (GCF) of 22230 and 22248 is 18.

GCF(22230,22248) = 18

We will now calculate the prime factors of 22230 and 22248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22230 and 22248.

How to find the GCF of 22230 and 22248?

We will first find the prime factorization of 22230 and 22248. After we will calculate the factors of 22230 and 22248 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 22248

Prime factors of 22248 are 2, 3, 103. Prime factorization of 22248 in exponential form is:

22248 = 2³ × 3³ × 103¹

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 22248

List of positive integer factors of 22248 that divides 22230 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 103, 108, 206, 216, 309, 412, 618, 824, 927, 1236, 1854, 2472, 2781, 3708, 5562, 7416, 11124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22230 and 22248. The biggest common factor number is the GCF number.
So the greatest common factor 22230 and 22248 is 18.

Also check out the Least Common Multiple of 22230 and 22248