What is the Greatest Common Factor of 565 and 573?

Greatest common factor (GCF) of 565 and 573 is 1.

GCF(565,573) = 1

We will now calculate the prime factors of 565 and 573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 565 and 573.

How to find the GCF of 565 and 573?

We will first find the prime factorization of 565 and 573. After we will calculate the factors of 565 and 573 and find the biggest common factor number .

Step-1: Prime Factorization of 565

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

565 = 5¹ × 113¹

Step-2: Prime Factorization of 573

Prime factors of 573 are 3, 191. Prime factorization of 573 in exponential form is:

573 = 3¹ × 191¹

Step-3: Factors of 565

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

1, 5, 113

Step-4: Factors of 573

List of positive integer factors of 573 that divides 565 without a remainder.

1, 3, 191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 565 and 573. The biggest common factor number is the GCF number.
So the greatest common factor 565 and 573 is 1.

Also check out the Least Common Multiple of 565 and 573