What is the Greatest Common Factor of 55593 and 55601?

Greatest common factor (GCF) of 55593 and 55601 is 1.

GCF(55593,55601) = 1

We will now calculate the prime factors of 55593 and 55601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55593 and 55601.

How to find the GCF of 55593 and 55601?

We will first find the prime factorization of 55593 and 55601. After we will calculate the factors of 55593 and 55601 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 55601

Prime factors of 55601 are 7, 13, 47. Prime factorization of 55601 in exponential form is:

55601 = 7¹ × 13² × 47¹

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 55601

List of positive integer factors of 55601 that divides 55593 without a remainder.

1, 7, 13, 47, 91, 169, 329, 611, 1183, 4277, 7943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55593 and 55601. The biggest common factor number is the GCF number.
So the greatest common factor 55593 and 55601 is 1.

Also check out the Least Common Multiple of 55593 and 55601