What is the Greatest Common Factor of 5577 and 5597?

Greatest common factor (GCF) of 5577 and 5597 is 1.

GCF(5577,5597) = 1

We will now calculate the prime factors of 5577 and 5597, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5577 and 5597.

How to find the GCF of 5577 and 5597?

We will first find the prime factorization of 5577 and 5597. After we will calculate the factors of 5577 and 5597 and find the biggest common factor number .

Step-1: Prime Factorization of 5577

Prime factors of 5577 are 3, 11, 13. Prime factorization of 5577 in exponential form is:

5577 = 3¹ × 11¹ × 13²

Step-2: Prime Factorization of 5597

Prime factors of 5597 are 29, 193. Prime factorization of 5597 in exponential form is:

5597 = 29¹ × 193¹

Step-3: Factors of 5577

List of positive integer factors of 5577 that divides 5577 without a remainder.

1, 3, 11, 13, 33, 39, 143, 169, 429, 507, 1859

Step-4: Factors of 5597

List of positive integer factors of 5597 that divides 5577 without a remainder.

1, 29, 193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5577 and 5597. The biggest common factor number is the GCF number.
So the greatest common factor 5577 and 5597 is 1.

Also check out the Least Common Multiple of 5577 and 5597