What is the Greatest Common Factor of 24432 and 24438?

Greatest common factor (GCF) of 24432 and 24438 is 6.

GCF(24432,24438) = 6

We will now calculate the prime factors of 24432 and 24438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24432 and 24438.

How to find the GCF of 24432 and 24438?

We will first find the prime factorization of 24432 and 24438. After we will calculate the factors of 24432 and 24438 and find the biggest common factor number .

Step-1: Prime Factorization of 24432

Prime factors of 24432 are 2, 3, 509. Prime factorization of 24432 in exponential form is:

24432 = 2⁴ × 3¹ × 509¹

Step-2: Prime Factorization of 24438

Prime factors of 24438 are 2, 3, 4073. Prime factorization of 24438 in exponential form is:

24438 = 2¹ × 3¹ × 4073¹

Step-3: Factors of 24432

List of positive integer factors of 24432 that divides 24432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216

Step-4: Factors of 24438

List of positive integer factors of 24438 that divides 24432 without a remainder.

1, 2, 3, 6, 4073, 8146, 12219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24432 and 24438. The biggest common factor number is the GCF number.
So the greatest common factor 24432 and 24438 is 6.

Also check out the Least Common Multiple of 24432 and 24438