What is the Greatest Common Factor of 24987 and 24993?

Greatest common factor (GCF) of 24987 and 24993 is 3.

GCF(24987,24993) = 3

We will now calculate the prime factors of 24987 and 24993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24987 and 24993.

How to find the GCF of 24987 and 24993?

We will first find the prime factorization of 24987 and 24993. After we will calculate the factors of 24987 and 24993 and find the biggest common factor number .

Step-1: Prime Factorization of 24987

Prime factors of 24987 are 3, 8329. Prime factorization of 24987 in exponential form is:

24987 = 3¹ × 8329¹

Step-2: Prime Factorization of 24993

Prime factors of 24993 are 3, 2777. Prime factorization of 24993 in exponential form is:

24993 = 3² × 2777¹

Step-3: Factors of 24987

List of positive integer factors of 24987 that divides 24987 without a remainder.

1, 3, 8329

Step-4: Factors of 24993

List of positive integer factors of 24993 that divides 24987 without a remainder.

1, 3, 9, 2777, 8331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24987 and 24993. The biggest common factor number is the GCF number.
So the greatest common factor 24987 and 24993 is 3.

Also check out the Least Common Multiple of 24987 and 24993