What is the Greatest Common Factor of 15557 and 15577?

Greatest common factor (GCF) of 15557 and 15577 is 1.

GCF(15557,15577) = 1

We will now calculate the prime factors of 15557 and 15577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15557 and 15577.

How to find the GCF of 15557 and 15577?

We will first find the prime factorization of 15557 and 15577. After we will calculate the factors of 15557 and 15577 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 15577

Prime factors of 15577 are 37, 421. Prime factorization of 15577 in exponential form is:

15577 = 37¹ × 421¹

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 15577

List of positive integer factors of 15577 that divides 15557 without a remainder.

1, 37, 421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15557 and 15577. The biggest common factor number is the GCF number.
So the greatest common factor 15557 and 15577 is 1.

Also check out the Least Common Multiple of 15557 and 15577