What is the Greatest Common Factor of 54846 and 54864?

Greatest common factor (GCF) of 54846 and 54864 is 18.

GCF(54846,54864) = 18

We will now calculate the prime factors of 54846 and 54864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54846 and 54864.

How to find the GCF of 54846 and 54864?

We will first find the prime factorization of 54846 and 54864. After we will calculate the factors of 54846 and 54864 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 54864

Prime factors of 54864 are 2, 3, 127. Prime factorization of 54864 in exponential form is:

54864 = 2⁴ × 3³ × 127¹

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 54864

List of positive integer factors of 54864 that divides 54846 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 127, 144, 216, 254, 381, 432, 508, 762, 1016, 1143, 1524, 2032, 2286, 3048, 3429, 4572, 6096, 6858, 9144, 13716, 18288, 27432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54846 and 54864. The biggest common factor number is the GCF number.
So the greatest common factor 54846 and 54864 is 18.

Also check out the Least Common Multiple of 54846 and 54864