What is the Greatest Common Factor of 22216 and 22230?

Greatest common factor (GCF) of 22216 and 22230 is 2.

GCF(22216,22230) = 2

We will now calculate the prime factors of 22216 and 22230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22216 and 22230.

How to find the GCF of 22216 and 22230?

We will first find the prime factorization of 22216 and 22230. After we will calculate the factors of 22216 and 22230 and find the biggest common factor number .

Step-1: Prime Factorization of 22216

Prime factors of 22216 are 2, 2777. Prime factorization of 22216 in exponential form is:

22216 = 2³ × 2777¹

Step-2: 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-3: Factors of 22216

List of positive integer factors of 22216 that divides 22216 without a remainder.

1, 2, 4, 8, 2777, 5554, 11108

Step-4: Factors of 22230

List of positive integer factors of 22230 that divides 22216 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22216 and 22230. The biggest common factor number is the GCF number.
So the greatest common factor 22216 and 22230 is 2.

Also check out the Least Common Multiple of 22216 and 22230