What is the Greatest Common Factor of 55566 and 55573?

Greatest common factor (GCF) of 55566 and 55573 is 7.

GCF(55566,55573) = 7

We will now calculate the prime factors of 55566 and 55573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55566 and 55573.

How to find the GCF of 55566 and 55573?

We will first find the prime factorization of 55566 and 55573. After we will calculate the factors of 55566 and 55573 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 55573

Prime factors of 55573 are 7, 17, 467. Prime factorization of 55573 in exponential form is:

55573 = 7¹ × 17¹ × 467¹

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 55573

List of positive integer factors of 55573 that divides 55566 without a remainder.

1, 7, 17, 119, 467, 3269, 7939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55566 and 55573. The biggest common factor number is the GCF number.
So the greatest common factor 55566 and 55573 is 7.

Also check out the Least Common Multiple of 55566 and 55573