What is the Greatest Common Factor of 24459 and 24477?

Greatest common factor (GCF) of 24459 and 24477 is 3.

GCF(24459,24477) = 3

We will now calculate the prime factors of 24459 and 24477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24459 and 24477.

How to find the GCF of 24459 and 24477?

We will first find the prime factorization of 24459 and 24477. After we will calculate the factors of 24459 and 24477 and find the biggest common factor number .

Step-1: Prime Factorization of 24459

Prime factors of 24459 are 3, 31, 263. Prime factorization of 24459 in exponential form is:

24459 = 3¹ × 31¹ × 263¹

Step-2: Prime Factorization of 24477

Prime factors of 24477 are 3, 41, 199. Prime factorization of 24477 in exponential form is:

24477 = 3¹ × 41¹ × 199¹

Step-3: Factors of 24459

List of positive integer factors of 24459 that divides 24459 without a remainder.

1, 3, 31, 93, 263, 789, 8153

Step-4: Factors of 24477

List of positive integer factors of 24477 that divides 24459 without a remainder.

1, 3, 41, 123, 199, 597, 8159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24459 and 24477. The biggest common factor number is the GCF number.
So the greatest common factor 24459 and 24477 is 3.

Also check out the Least Common Multiple of 24459 and 24477