What is the Greatest Common Factor of 55548 and 55566?

Greatest common factor (GCF) of 55548 and 55566 is 18.

GCF(55548,55566) = 18

We will now calculate the prime factors of 55548 and 55566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55548 and 55566.

How to find the GCF of 55548 and 55566?

We will first find the prime factorization of 55548 and 55566. After we will calculate the factors of 55548 and 55566 and find the biggest common factor number .

Step-1: Prime Factorization of 55548

Prime factors of 55548 are 2, 3, 1543. Prime factorization of 55548 in exponential form is:

55548 = 2² × 3² × 1543¹

Step-2: Prime Factorization of 55566

Prime factors of 55566 are 2, 3, 7. Prime factorization of 55566 in exponential form is:

55566 = 2¹ × 3⁴ × 7³

Step-3: Factors of 55548

List of positive integer factors of 55548 that divides 55548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1543, 3086, 4629, 6172, 9258, 13887, 18516, 27774

Step-4: Factors of 55566

List of positive integer factors of 55566 that divides 55548 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 294, 343, 378, 441, 567, 686, 882, 1029, 1134, 1323, 2058, 2646, 3087, 3969, 6174, 7938, 9261, 18522, 27783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55548 and 55566. The biggest common factor number is the GCF number.
So the greatest common factor 55548 and 55566 is 18.

Also check out the Least Common Multiple of 55548 and 55566