What is the Greatest Common Factor of 9504 and 9516?

Greatest common factor (GCF) of 9504 and 9516 is 12.

GCF(9504,9516) = 12

We will now calculate the prime factors of 9504 and 9516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9504 and 9516.

How to find the GCF of 9504 and 9516?

We will first find the prime factorization of 9504 and 9516. After we will calculate the factors of 9504 and 9516 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9516

Prime factors of 9516 are 2, 3, 13, 61. Prime factorization of 9516 in exponential form is:

9516 = 2² × 3¹ × 13¹ × 61¹

Step-3: Factors of 9504

List of positive integer factors of 9504 that divides 9504 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

Step-4: Factors of 9516

List of positive integer factors of 9516 that divides 9504 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 61, 78, 122, 156, 183, 244, 366, 732, 793, 1586, 2379, 3172, 4758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9504 and 9516. The biggest common factor number is the GCF number.
So the greatest common factor 9504 and 9516 is 12.

Also check out the Least Common Multiple of 9504 and 9516