What is the Greatest Common Factor of 550 and 554?

Greatest common factor (GCF) of 550 and 554 is 2.

GCF(550,554) = 2

We will now calculate the prime factors of 550 and 554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 550 and 554.

How to find the GCF of 550 and 554?

We will first find the prime factorization of 550 and 554. After we will calculate the factors of 550 and 554 and find the biggest common factor number .

Step-1: Prime Factorization of 550

Prime factors of 550 are 2, 5, 11. Prime factorization of 550 in exponential form is:

550 = 2¹ × 5² × 11¹

Step-2: Prime Factorization of 554

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

554 = 2¹ × 277¹

Step-3: Factors of 550

List of positive integer factors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275

Step-4: Factors of 554

List of positive integer factors of 554 that divides 550 without a remainder.

1, 2, 277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 550 and 554. The biggest common factor number is the GCF number.
So the greatest common factor 550 and 554 is 2.

Also check out the Least Common Multiple of 550 and 554