What is the Greatest Common Factor of 551 and 570?

Greatest common factor (GCF) of 551 and 570 is 19.

GCF(551,570) = 19

We will now calculate the prime factors of 551 and 570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 551 and 570.

How to find the GCF of 551 and 570?

We will first find the prime factorization of 551 and 570. After we will calculate the factors of 551 and 570 and find the biggest common factor number .

Step-1: Prime Factorization of 551

Prime factors of 551 are 19, 29. Prime factorization of 551 in exponential form is:

551 = 19¹ × 29¹

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 551

List of positive integer factors of 551 that divides 551 without a remainder.

1, 19, 29

Step-4: Factors of 570

List of positive integer factors of 570 that divides 551 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 551 and 570. The biggest common factor number is the GCF number.
So the greatest common factor 551 and 570 is 19.

Also check out the Least Common Multiple of 551 and 570