What is the Greatest Common Factor of 551 and 559?

Greatest common factor (GCF) of 551 and 559 is 1.

GCF(551,559) = 1

We will now calculate the prime factors of 551 and 559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 551 and 559.

How to find the GCF of 551 and 559?

We will first find the prime factorization of 551 and 559. After we will calculate the factors of 551 and 559 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 559

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

559 = 13¹ × 43¹

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 559

List of positive integer factors of 559 that divides 551 without a remainder.

1, 13, 43

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 551 and 559. The biggest common factor number is the GCF number.
So the greatest common factor 551 and 559 is 1.

Also check out the Least Common Multiple of 551 and 559