What is the Greatest Common Factor of 530 and 550?

Greatest common factor (GCF) of 530 and 550 is 10.

GCF(530,550) = 10

We will now calculate the prime factors of 530 and 550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 530 and 550.

How to find the GCF of 530 and 550?

We will first find the prime factorization of 530 and 550. After we will calculate the factors of 530 and 550 and find the biggest common factor number .

Step-1: Prime Factorization of 530

Prime factors of 530 are 2, 5, 53. Prime factorization of 530 in exponential form is:

530 = 2¹ × 5¹ × 53¹

Step-2: 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-3: Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265

Step-4: Factors of 550

List of positive integer factors of 550 that divides 530 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 530 and 550. The biggest common factor number is the GCF number.
So the greatest common factor 530 and 550 is 10.

Also check out the Least Common Multiple of 530 and 550