What is the Greatest Common Factor of 24789 and 24795?

Greatest common factor (GCF) of 24789 and 24795 is 3.

GCF(24789,24795) = 3

We will now calculate the prime factors of 24789 and 24795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24789 and 24795.

How to find the GCF of 24789 and 24795?

We will first find the prime factorization of 24789 and 24795. After we will calculate the factors of 24789 and 24795 and find the biggest common factor number .

Step-1: Prime Factorization of 24789

Prime factors of 24789 are 3, 8263. Prime factorization of 24789 in exponential form is:

24789 = 3¹ × 8263¹

Step-2: Prime Factorization of 24795

Prime factors of 24795 are 3, 5, 19, 29. Prime factorization of 24795 in exponential form is:

24795 = 3² × 5¹ × 19¹ × 29¹

Step-3: Factors of 24789

List of positive integer factors of 24789 that divides 24789 without a remainder.

1, 3, 8263

Step-4: Factors of 24795

List of positive integer factors of 24795 that divides 24789 without a remainder.

1, 3, 5, 9, 15, 19, 29, 45, 57, 87, 95, 145, 171, 261, 285, 435, 551, 855, 1305, 1653, 2755, 4959, 8265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24789 and 24795. The biggest common factor number is the GCF number.
So the greatest common factor 24789 and 24795 is 3.

Also check out the Least Common Multiple of 24789 and 24795