What is the Greatest Common Factor of 55593 and 55611?

Greatest common factor (GCF) of 55593 and 55611 is 9.

GCF(55593,55611) = 9

We will now calculate the prime factors of 55593 and 55611, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55593 and 55611.

How to find the GCF of 55593 and 55611?

We will first find the prime factorization of 55593 and 55611. After we will calculate the factors of 55593 and 55611 and find the biggest common factor number .

Step-1: Prime Factorization of 55593

Prime factors of 55593 are 3, 29, 71. Prime factorization of 55593 in exponential form is:

55593 = 3³ × 29¹ × 71¹

Step-2: Prime Factorization of 55611

Prime factors of 55611 are 3, 37, 167. Prime factorization of 55611 in exponential form is:

55611 = 3² × 37¹ × 167¹

Step-3: Factors of 55593

List of positive integer factors of 55593 that divides 55593 without a remainder.

1, 3, 9, 27, 29, 71, 87, 213, 261, 639, 783, 1917, 2059, 6177, 18531

Step-4: Factors of 55611

List of positive integer factors of 55611 that divides 55593 without a remainder.

1, 3, 9, 37, 111, 167, 333, 501, 1503, 6179, 18537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55593 and 55611. The biggest common factor number is the GCF number.
So the greatest common factor 55593 and 55611 is 9.

Also check out the Least Common Multiple of 55593 and 55611