What is the Greatest Common Factor of 9495 and 9504?

Greatest common factor (GCF) of 9495 and 9504 is 9.

GCF(9495,9504) = 9

We will now calculate the prime factors of 9495 and 9504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9495 and 9504.

How to find the GCF of 9495 and 9504?

We will first find the prime factorization of 9495 and 9504. After we will calculate the factors of 9495 and 9504 and find the biggest common factor number .

Step-1: Prime Factorization of 9495

Prime factors of 9495 are 3, 5, 211. Prime factorization of 9495 in exponential form is:

9495 = 3² × 5¹ × 211¹

Step-2: Prime Factorization of 9504

Prime factors of 9504 are 2, 3, 11. Prime factorization of 9504 in exponential form is:

9504 = 2⁵ × 3³ × 11¹

Step-3: Factors of 9495

List of positive integer factors of 9495 that divides 9495 without a remainder.

1, 3, 5, 9, 15, 45, 211, 633, 1055, 1899, 3165

Step-4: Factors of 9504

List of positive integer factors of 9504 that divides 9495 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 32, 33, 36, 44, 48, 54, 66, 72, 88, 96, 99, 108, 132, 144, 176, 198, 216, 264, 288, 297, 352, 396, 432, 528, 594, 792, 864, 1056, 1188, 1584, 2376, 3168, 4752

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9495 and 9504. The biggest common factor number is the GCF number.
So the greatest common factor 9495 and 9504 is 9.

Also check out the Least Common Multiple of 9495 and 9504