What is the Greatest Common Factor of 520 and 530?

Greatest common factor (GCF) of 520 and 530 is 10.

GCF(520,530) = 10

We will now calculate the prime factors of 520 and 530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 520 and 530.

How to find the GCF of 520 and 530?

We will first find the prime factorization of 520 and 530. After we will calculate the factors of 520 and 530 and find the biggest common factor number .

Step-1: Prime Factorization of 520

Prime factors of 520 are 2, 5, 13. Prime factorization of 520 in exponential form is:

520 = 2³ × 5¹ × 13¹

Step-2: 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-3: Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260

Step-4: Factors of 530

List of positive integer factors of 530 that divides 520 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 520 and 530. The biggest common factor number is the GCF number.
So the greatest common factor 520 and 530 is 10.

Also check out the Least Common Multiple of 520 and 530