What is the Greatest Common Factor of 559 and 570?

Greatest common factor (GCF) of 559 and 570 is 1.

GCF(559,570) = 1

We will now calculate the prime factors of 559 and 570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 559 and 570.

How to find the GCF of 559 and 570?

We will first find the prime factorization of 559 and 570. After we will calculate the factors of 559 and 570 and find the biggest common factor number .

Step-1: Prime Factorization of 559

Prime factors of 559 are 13, 43. Prime factorization of 559 in exponential form is:

559 = 13¹ × 43¹

Step-2: Prime Factorization of 570

Prime factors of 570 are 2, 3, 5, 19. Prime factorization of 570 in exponential form is:

570 = 2¹ × 3¹ × 5¹ × 19¹

Step-3: Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1, 13, 43

Step-4: Factors of 570

List of positive integer factors of 570 that divides 559 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 559 and 570. The biggest common factor number is the GCF number.
So the greatest common factor 559 and 570 is 1.

Also check out the Least Common Multiple of 559 and 570