What is the Greatest Common Factor of 15557 and 15573?

Greatest common factor (GCF) of 15557 and 15573 is 1.

GCF(15557,15573) = 1

We will now calculate the prime factors of 15557 and 15573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15557 and 15573.

How to find the GCF of 15557 and 15573?

We will first find the prime factorization of 15557 and 15573. After we will calculate the factors of 15557 and 15573 and find the biggest common factor number .

Step-1: Prime Factorization of 15557

Prime factors of 15557 are 47, 331. Prime factorization of 15557 in exponential form is:

15557 = 47¹ × 331¹

Step-2: Prime Factorization of 15573

Prime factors of 15573 are 3, 29, 179. Prime factorization of 15573 in exponential form is:

15573 = 3¹ × 29¹ × 179¹

Step-3: Factors of 15557

List of positive integer factors of 15557 that divides 15557 without a remainder.

1, 47, 331

Step-4: Factors of 15573

List of positive integer factors of 15573 that divides 15557 without a remainder.

1, 3, 29, 87, 179, 537, 5191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15557 and 15573. The biggest common factor number is the GCF number.
So the greatest common factor 15557 and 15573 is 1.

Also check out the Least Common Multiple of 15557 and 15573