What is the Greatest Common Factor of 54771 and 54789?

Greatest common factor (GCF) of 54771 and 54789 is 3.

GCF(54771,54789) = 3

We will now calculate the prime factors of 54771 and 54789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54771 and 54789.

How to find the GCF of 54771 and 54789?

We will first find the prime factorization of 54771 and 54789. After we will calculate the factors of 54771 and 54789 and find the biggest common factor number .

Step-1: Prime Factorization of 54771

Prime factors of 54771 are 3, 18257. Prime factorization of 54771 in exponential form is:

54771 = 3¹ × 18257¹

Step-2: Prime Factorization of 54789

Prime factors of 54789 are 3, 7, 2609. Prime factorization of 54789 in exponential form is:

54789 = 3¹ × 7¹ × 2609¹

Step-3: Factors of 54771

List of positive integer factors of 54771 that divides 54771 without a remainder.

1, 3, 18257

Step-4: Factors of 54789

List of positive integer factors of 54789 that divides 54771 without a remainder.

1, 3, 7, 21, 2609, 7827, 18263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54771 and 54789. The biggest common factor number is the GCF number.
So the greatest common factor 54771 and 54789 is 3.

Also check out the Least Common Multiple of 54771 and 54789