What is the Greatest Common Factor of 54846 and 54861?

Greatest common factor (GCF) of 54846 and 54861 is 3.

GCF(54846,54861) = 3

We will now calculate the prime factors of 54846 and 54861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54846 and 54861.

How to find the GCF of 54846 and 54861?

We will first find the prime factorization of 54846 and 54861. After we will calculate the factors of 54846 and 54861 and find the biggest common factor number .

Step-1: Prime Factorization of 54846

Prime factors of 54846 are 2, 3, 11, 277. Prime factorization of 54846 in exponential form is:

54846 = 2¹ × 3² × 11¹ × 277¹

Step-2: Prime Factorization of 54861

Prime factors of 54861 are 3, 18287. Prime factorization of 54861 in exponential form is:

54861 = 3¹ × 18287¹

Step-3: Factors of 54846

List of positive integer factors of 54846 that divides 54846 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 277, 554, 831, 1662, 2493, 3047, 4986, 6094, 9141, 18282, 27423

Step-4: Factors of 54861

List of positive integer factors of 54861 that divides 54846 without a remainder.

1, 3, 18287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54846 and 54861. The biggest common factor number is the GCF number.
So the greatest common factor 54846 and 54861 is 3.

Also check out the Least Common Multiple of 54846 and 54861