What is the Greatest Common Factor of 24222 and 24230?

Greatest common factor (GCF) of 24222 and 24230 is 2.

GCF(24222,24230) = 2

We will now calculate the prime factors of 24222 and 24230, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24222 and 24230.

How to find the GCF of 24222 and 24230?

We will first find the prime factorization of 24222 and 24230. After we will calculate the factors of 24222 and 24230 and find the biggest common factor number .

Step-1: Prime Factorization of 24222

Prime factors of 24222 are 2, 3, 11, 367. Prime factorization of 24222 in exponential form is:

24222 = 2¹ × 3¹ × 11¹ × 367¹

Step-2: Prime Factorization of 24230

Prime factors of 24230 are 2, 5, 2423. Prime factorization of 24230 in exponential form is:

24230 = 2¹ × 5¹ × 2423¹

Step-3: Factors of 24222

List of positive integer factors of 24222 that divides 24222 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 367, 734, 1101, 2202, 4037, 8074, 12111

Step-4: Factors of 24230

List of positive integer factors of 24230 that divides 24222 without a remainder.

1, 2, 5, 10, 2423, 4846, 12115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24222 and 24230. The biggest common factor number is the GCF number.
So the greatest common factor 24222 and 24230 is 2.

Also check out the Least Common Multiple of 24222 and 24230