What is the Greatest Common Factor of 55866 and 55872?

Greatest common factor (GCF) of 55866 and 55872 is 6.

GCF(55866,55872) = 6

We will now calculate the prime factors of 55866 and 55872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55866 and 55872.

How to find the GCF of 55866 and 55872?

We will first find the prime factorization of 55866 and 55872. After we will calculate the factors of 55866 and 55872 and find the biggest common factor number .

Step-1: Prime Factorization of 55866

Prime factors of 55866 are 2, 3, 9311. Prime factorization of 55866 in exponential form is:

55866 = 2¹ × 3¹ × 9311¹

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 55866

List of positive integer factors of 55866 that divides 55866 without a remainder.

1, 2, 3, 6, 9311, 18622, 27933

Step-4: Factors of 55872

List of positive integer factors of 55872 that divides 55866 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 55866 and 55872. The biggest common factor number is the GCF number.
So the greatest common factor 55866 and 55872 is 6.

Also check out the Least Common Multiple of 55866 and 55872