What is the Greatest Common Factor of 24771 and 24777?

Greatest common factor (GCF) of 24771 and 24777 is 3.

GCF(24771,24777) = 3

We will now calculate the prime factors of 24771 and 24777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24771 and 24777.

How to find the GCF of 24771 and 24777?

We will first find the prime factorization of 24771 and 24777. After we will calculate the factors of 24771 and 24777 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 24777

Prime factors of 24777 are 3, 2753. Prime factorization of 24777 in exponential form is:

24777 = 3² × 2753¹

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 24777

List of positive integer factors of 24777 that divides 24771 without a remainder.

1, 3, 9, 2753, 8259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24771 and 24777. The biggest common factor number is the GCF number.
So the greatest common factor 24771 and 24777 is 3.

Also check out the Least Common Multiple of 24771 and 24777