What is the Greatest Common Factor of 520 and 533?

Greatest common factor (GCF) of 520 and 533 is 13.

GCF(520,533) = 13

We will now calculate the prime factors of 520 and 533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 520 and 533.

How to find the GCF of 520 and 533?

We will first find the prime factorization of 520 and 533. After we will calculate the factors of 520 and 533 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 533

Prime factors of 533 are 13, 41. Prime factorization of 533 in exponential form is:

533 = 13¹ × 41¹

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 533

List of positive integer factors of 533 that divides 520 without a remainder.

1, 13, 41

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 520 and 533. The biggest common factor number is the GCF number.
So the greatest common factor 520 and 533 is 13.

Also check out the Least Common Multiple of 520 and 533