What is the Greatest Common Factor of 24858 and 24867?

Greatest common factor (GCF) of 24858 and 24867 is 9.

GCF(24858,24867) = 9

We will now calculate the prime factors of 24858 and 24867, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24858 and 24867.

How to find the GCF of 24858 and 24867?

We will first find the prime factorization of 24858 and 24867. After we will calculate the factors of 24858 and 24867 and find the biggest common factor number .

Step-1: Prime Factorization of 24858

Prime factors of 24858 are 2, 3, 1381. Prime factorization of 24858 in exponential form is:

24858 = 2¹ × 3² × 1381¹

Step-2: Prime Factorization of 24867

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

24867 = 3⁴ × 307¹

Step-3: Factors of 24858

List of positive integer factors of 24858 that divides 24858 without a remainder.

1, 2, 3, 6, 9, 18, 1381, 2762, 4143, 8286, 12429

Step-4: Factors of 24867

List of positive integer factors of 24867 that divides 24858 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24858 and 24867. The biggest common factor number is the GCF number.
So the greatest common factor 24858 and 24867 is 9.

Also check out the Least Common Multiple of 24858 and 24867