What is the Greatest Common Factor of 24216 and 24234?

Greatest common factor (GCF) of 24216 and 24234 is 6.

GCF(24216,24234) = 6

We will now calculate the prime factors of 24216 and 24234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24216 and 24234.

How to find the GCF of 24216 and 24234?

We will first find the prime factorization of 24216 and 24234. After we will calculate the factors of 24216 and 24234 and find the biggest common factor number .

Step-1: Prime Factorization of 24216

Prime factors of 24216 are 2, 3, 1009. Prime factorization of 24216 in exponential form is:

24216 = 2³ × 3¹ × 1009¹

Step-2: Prime Factorization of 24234

Prime factors of 24234 are 2, 3, 7, 577. Prime factorization of 24234 in exponential form is:

24234 = 2¹ × 3¹ × 7¹ × 577¹

Step-3: Factors of 24216

List of positive integer factors of 24216 that divides 24216 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1009, 2018, 3027, 4036, 6054, 8072, 12108

Step-4: Factors of 24234

List of positive integer factors of 24234 that divides 24216 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 577, 1154, 1731, 3462, 4039, 8078, 12117

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24216 and 24234. The biggest common factor number is the GCF number.
So the greatest common factor 24216 and 24234 is 6.

Also check out the Least Common Multiple of 24216 and 24234