What is the Greatest Common Factor of 9540 and 9555?

Greatest common factor (GCF) of 9540 and 9555 is 15.

GCF(9540,9555) = 15

We will now calculate the prime factors of 9540 and 9555, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9540 and 9555.

How to find the GCF of 9540 and 9555?

We will first find the prime factorization of 9540 and 9555. After we will calculate the factors of 9540 and 9555 and find the biggest common factor number .

Step-1: Prime Factorization of 9540

Prime factors of 9540 are 2, 3, 5, 53. Prime factorization of 9540 in exponential form is:

9540 = 2² × 3² × 5¹ × 53¹

Step-2: Prime Factorization of 9555

Prime factors of 9555 are 3, 5, 7, 13. Prime factorization of 9555 in exponential form is:

9555 = 3¹ × 5¹ × 7² × 13¹

Step-3: Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 477, 530, 636, 795, 954, 1060, 1590, 1908, 2385, 3180, 4770

Step-4: Factors of 9555

List of positive integer factors of 9555 that divides 9540 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9540 and 9555. The biggest common factor number is the GCF number.
So the greatest common factor 9540 and 9555 is 15.

Also check out the Least Common Multiple of 9540 and 9555