What is the Greatest Common Factor of 9546 and 9552?

Greatest common factor (GCF) of 9546 and 9552 is 6.

GCF(9546,9552) = 6

We will now calculate the prime factors of 9546 and 9552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9546 and 9552.

How to find the GCF of 9546 and 9552?

We will first find the prime factorization of 9546 and 9552. After we will calculate the factors of 9546 and 9552 and find the biggest common factor number .

Step-1: Prime Factorization of 9546

Prime factors of 9546 are 2, 3, 37, 43. Prime factorization of 9546 in exponential form is:

9546 = 2¹ × 3¹ × 37¹ × 43¹

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 9546

List of positive integer factors of 9546 that divides 9546 without a remainder.

1, 2, 3, 6, 37, 43, 74, 86, 111, 129, 222, 258, 1591, 3182, 4773

Step-4: Factors of 9552

List of positive integer factors of 9552 that divides 9546 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 9546 and 9552. The biggest common factor number is the GCF number.
So the greatest common factor 9546 and 9552 is 6.

Also check out the Least Common Multiple of 9546 and 9552