What is the Greatest Common Factor of 574 and 583?

Greatest common factor (GCF) of 574 and 583 is 1.

GCF(574,583) = 1

We will now calculate the prime factors of 574 and 583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 574 and 583.

How to find the GCF of 574 and 583?

We will first find the prime factorization of 574 and 583. After we will calculate the factors of 574 and 583 and find the biggest common factor number .

Step-1: Prime Factorization of 574

Prime factors of 574 are 2, 7, 41. Prime factorization of 574 in exponential form is:

574 = 2¹ × 7¹ × 41¹

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 574

List of positive integer factors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287

Step-4: Factors of 583

List of positive integer factors of 583 that divides 574 without a remainder.

1, 11, 53

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 574 and 583. The biggest common factor number is the GCF number.
So the greatest common factor 574 and 583 is 1.

Also check out the Least Common Multiple of 574 and 583