What is the Greatest Common Factor of 557 and 565?

Greatest common factor (GCF) of 557 and 565 is 1.

GCF(557,565) = 1

We will now calculate the prime factors of 557 and 565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 557 and 565.

How to find the GCF of 557 and 565?

We will first find the prime factorization of 557 and 565. After we will calculate the factors of 557 and 565 and find the biggest common factor number .

Step-1: Prime Factorization of 557

Prime factors of 557 are 557. Prime factorization of 557 in exponential form is:

557 = 557¹

Step-2: Prime Factorization of 565

Prime factors of 565 are 5, 113. Prime factorization of 565 in exponential form is:

565 = 5¹ × 113¹

Step-3: Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

Step-4: Factors of 565

List of positive integer factors of 565 that divides 557 without a remainder.

1, 5, 113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 557 and 565. The biggest common factor number is the GCF number.
So the greatest common factor 557 and 565 is 1.

Also check out the Least Common Multiple of 557 and 565