What is the Greatest Common Factor of 564 and 583?

Greatest common factor (GCF) of 564 and 583 is 1.

GCF(564,583) = 1

We will now calculate the prime factors of 564 and 583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 564 and 583.

How to find the GCF of 564 and 583?

We will first find the prime factorization of 564 and 583. After we will calculate the factors of 564 and 583 and find the biggest common factor number .

Step-1: Prime Factorization of 564

Prime factors of 564 are 2, 3, 47. Prime factorization of 564 in exponential form is:

564 = 2² × 3¹ × 47¹

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 564

List of positive integer factors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282

Step-4: Factors of 583

List of positive integer factors of 583 that divides 564 without a remainder.

1, 11, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 564 and 583. The biggest common factor number is the GCF number.
So the greatest common factor 564 and 583 is 1.

Also check out the Least Common Multiple of 564 and 583