What is the Greatest Common Factor of 530 and 540?

Greatest common factor (GCF) of 530 and 540 is 10.

GCF(530,540) = 10

We will now calculate the prime factors of 530 and 540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 530 and 540.

How to find the GCF of 530 and 540?

We will first find the prime factorization of 530 and 540. After we will calculate the factors of 530 and 540 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 540

Prime factors of 540 are 2, 3, 5. Prime factorization of 540 in exponential form is:

540 = 2² × 3³ × 5¹

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 540

List of positive integer factors of 540 that divides 530 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 530 and 540. The biggest common factor number is the GCF number.
So the greatest common factor 530 and 540 is 10.

Also check out the Least Common Multiple of 530 and 540