What is the Greatest Common Factor of 24867 and 24872?

Greatest common factor (GCF) of 24867 and 24872 is 1.

GCF(24867,24872) = 1

We will now calculate the prime factors of 24867 and 24872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24867 and 24872.

How to find the GCF of 24867 and 24872?

We will first find the prime factorization of 24867 and 24872. After we will calculate the factors of 24867 and 24872 and find the biggest common factor number .

Step-1: Prime Factorization of 24867

Prime factors of 24867 are 3, 307. Prime factorization of 24867 in exponential form is:

24867 = 3⁴ × 307¹

Step-2: Prime Factorization of 24872

Prime factors of 24872 are 2, 3109. Prime factorization of 24872 in exponential form is:

24872 = 2³ × 3109¹

Step-3: Factors of 24867

List of positive integer factors of 24867 that divides 24867 without a remainder.

1, 3, 9, 27, 81, 307, 921, 2763, 8289

Step-4: Factors of 24872

List of positive integer factors of 24872 that divides 24867 without a remainder.

1, 2, 4, 8, 3109, 6218, 12436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24867 and 24872. The biggest common factor number is the GCF number.
So the greatest common factor 24867 and 24872 is 1.

Also check out the Least Common Multiple of 24867 and 24872