What is the Greatest Common Factor of 9540 and 9552?

Greatest common factor (GCF) of 9540 and 9552 is 12.

GCF(9540,9552) = 12

We will now calculate the prime factors of 9540 and 9552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9540 and 9552.

How to find the GCF of 9540 and 9552?

We will first find the prime factorization of 9540 and 9552. After we will calculate the factors of 9540 and 9552 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 9552

Prime factors of 9552 are 2, 3, 199. Prime factorization of 9552 in exponential form is:

9552 = 2⁴ × 3¹ × 199¹

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 9552

List of positive integer factors of 9552 that divides 9540 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 199, 398, 597, 796, 1194, 1592, 2388, 3184, 4776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9540 and 9552. The biggest common factor number is the GCF number.
So the greatest common factor 9540 and 9552 is 12.

Also check out the Least Common Multiple of 9540 and 9552