What is the Greatest Common Factor of 24219 and 24234?

Greatest common factor (GCF) of 24219 and 24234 is 3.

GCF(24219,24234) = 3

We will now calculate the prime factors of 24219 and 24234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24219 and 24234.

How to find the GCF of 24219 and 24234?

We will first find the prime factorization of 24219 and 24234. After we will calculate the factors of 24219 and 24234 and find the biggest common factor number .

Step-1: Prime Factorization of 24219

Prime factors of 24219 are 3, 13, 23. Prime factorization of 24219 in exponential form is:

24219 = 3⁴ × 13¹ × 23¹

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 24219

List of positive integer factors of 24219 that divides 24219 without a remainder.

1, 3, 9, 13, 23, 27, 39, 69, 81, 117, 207, 299, 351, 621, 897, 1053, 1863, 2691, 8073

Step-4: Factors of 24234

List of positive integer factors of 24234 that divides 24219 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 24219 and 24234. The biggest common factor number is the GCF number.
So the greatest common factor 24219 and 24234 is 3.

Also check out the Least Common Multiple of 24219 and 24234