What is the Greatest Common Factor of 24417 and 24432?

Greatest common factor (GCF) of 24417 and 24432 is 3.

GCF(24417,24432) = 3

We will now calculate the prime factors of 24417 and 24432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24417 and 24432.

How to find the GCF of 24417 and 24432?

We will first find the prime factorization of 24417 and 24432. After we will calculate the factors of 24417 and 24432 and find the biggest common factor number .

Step-1: Prime Factorization of 24417

Prime factors of 24417 are 3, 2713. Prime factorization of 24417 in exponential form is:

24417 = 3² × 2713¹

Step-2: 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-3: Factors of 24417

List of positive integer factors of 24417 that divides 24417 without a remainder.

1, 3, 9, 2713, 8139

Step-4: Factors of 24432

List of positive integer factors of 24432 that divides 24417 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24417 and 24432. The biggest common factor number is the GCF number.
So the greatest common factor 24417 and 24432 is 3.

Also check out the Least Common Multiple of 24417 and 24432