What is the Greatest Common Factor of 55566 and 55581?

Greatest common factor (GCF) of 55566 and 55581 is 3.

GCF(55566,55581) = 3

We will now calculate the prime factors of 55566 and 55581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55566 and 55581.

How to find the GCF of 55566 and 55581?

We will first find the prime factorization of 55566 and 55581. After we will calculate the factors of 55566 and 55581 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55581

Prime factors of 55581 are 3, 97, 191. Prime factorization of 55581 in exponential form is:

55581 = 3¹ × 97¹ × 191¹

Step-3: Factors of 55566

List of positive integer factors of 55566 that divides 55566 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

Step-4: Factors of 55581

List of positive integer factors of 55581 that divides 55566 without a remainder.

1, 3, 97, 191, 291, 573, 18527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55566 and 55581. The biggest common factor number is the GCF number.
So the greatest common factor 55566 and 55581 is 3.

Also check out the Least Common Multiple of 55566 and 55581