What is the Greatest Common Factor of 565 and 583?

Greatest common factor (GCF) of 565 and 583 is 1.

GCF(565,583) = 1

We will now calculate the prime factors of 565 and 583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 565 and 583.

How to find the GCF of 565 and 583?

We will first find the prime factorization of 565 and 583. After we will calculate the factors of 565 and 583 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 583

Prime factors of 583 are 11, 53. Prime factorization of 583 in exponential form is:

583 = 11¹ × 53¹

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 583

List of positive integer factors of 583 that divides 565 without a remainder.

1, 11, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 565 and 583. The biggest common factor number is the GCF number.
So the greatest common factor 565 and 583 is 1.

Also check out the Least Common Multiple of 565 and 583