What is the Greatest Common Factor of 550 and 562?

Greatest common factor (GCF) of 550 and 562 is 2.

GCF(550,562) = 2

We will now calculate the prime factors of 550 and 562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 550 and 562.

How to find the GCF of 550 and 562?

We will first find the prime factorization of 550 and 562. After we will calculate the factors of 550 and 562 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 562

Prime factors of 562 are 2, 281. Prime factorization of 562 in exponential form is:

562 = 2¹ × 281¹

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 562

List of positive integer factors of 562 that divides 550 without a remainder.

1, 2, 281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 550 and 562. The biggest common factor number is the GCF number.
So the greatest common factor 550 and 562 is 2.

Also check out the Least Common Multiple of 550 and 562