What is the Greatest Common Factor of 554 and 561?

Greatest common factor (GCF) of 554 and 561 is 1.

GCF(554,561) = 1

We will now calculate the prime factors of 554 and 561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 554 and 561.

How to find the GCF of 554 and 561?

We will first find the prime factorization of 554 and 561. After we will calculate the factors of 554 and 561 and find the biggest common factor number .

Step-1: Prime Factorization of 554

Prime factors of 554 are 2, 277. Prime factorization of 554 in exponential form is:

554 = 2¹ × 277¹

Step-2: Prime Factorization of 561

Prime factors of 561 are 3, 11, 17. Prime factorization of 561 in exponential form is:

561 = 3¹ × 11¹ × 17¹

Step-3: Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1, 2, 277

Step-4: Factors of 561

List of positive integer factors of 561 that divides 554 without a remainder.

1, 3, 11, 17, 33, 51, 187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 554 and 561. The biggest common factor number is the GCF number.
So the greatest common factor 554 and 561 is 1.

Also check out the Least Common Multiple of 554 and 561