What is the Greatest Common Factor of 24771 and 24789?

Greatest common factor (GCF) of 24771 and 24789 is 3.

GCF(24771,24789) = 3

We will now calculate the prime factors of 24771 and 24789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24771 and 24789.

How to find the GCF of 24771 and 24789?

We will first find the prime factorization of 24771 and 24789. After we will calculate the factors of 24771 and 24789 and find the biggest common factor number .

Step-1: Prime Factorization of 24771

Prime factors of 24771 are 3, 23, 359. Prime factorization of 24771 in exponential form is:

24771 = 3¹ × 23¹ × 359¹

Step-2: Prime Factorization of 24789

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

24789 = 3¹ × 8263¹

Step-3: Factors of 24771

List of positive integer factors of 24771 that divides 24771 without a remainder.

1, 3, 23, 69, 359, 1077, 8257

Step-4: Factors of 24789

List of positive integer factors of 24789 that divides 24771 without a remainder.

1, 3, 8263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24771 and 24789. The biggest common factor number is the GCF number.
So the greatest common factor 24771 and 24789 is 3.

Also check out the Least Common Multiple of 24771 and 24789