What is the Greatest Common Factor of 55854 and 55872?

Greatest common factor (GCF) of 55854 and 55872 is 18.

GCF(55854,55872) = 18

We will now calculate the prime factors of 55854 and 55872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55854 and 55872.

How to find the GCF of 55854 and 55872?

We will first find the prime factorization of 55854 and 55872. After we will calculate the factors of 55854 and 55872 and find the biggest common factor number .

Step-1: Prime Factorization of 55854

Prime factors of 55854 are 2, 3, 29, 107. Prime factorization of 55854 in exponential form is:

55854 = 2¹ × 3² × 29¹ × 107¹

Step-2: Prime Factorization of 55872

Prime factors of 55872 are 2, 3, 97. Prime factorization of 55872 in exponential form is:

55872 = 2⁶ × 3² × 97¹

Step-3: Factors of 55854

List of positive integer factors of 55854 that divides 55854 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 107, 174, 214, 261, 321, 522, 642, 963, 1926, 3103, 6206, 9309, 18618, 27927

Step-4: Factors of 55872

List of positive integer factors of 55872 that divides 55854 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 97, 144, 192, 194, 288, 291, 388, 576, 582, 776, 873, 1164, 1552, 1746, 2328, 3104, 3492, 4656, 6208, 6984, 9312, 13968, 18624, 27936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55854 and 55872. The biggest common factor number is the GCF number.
So the greatest common factor 55854 and 55872 is 18.

Also check out the Least Common Multiple of 55854 and 55872