What is the Greatest Common Factor of 9492 and 9504?

Greatest common factor (GCF) of 9492 and 9504 is 12.

GCF(9492,9504) = 12

We will now calculate the prime factors of 9492 and 9504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9492 and 9504.

How to find the GCF of 9492 and 9504?

We will first find the prime factorization of 9492 and 9504. After we will calculate the factors of 9492 and 9504 and find the biggest common factor number .

Step-1: Prime Factorization of 9492

Prime factors of 9492 are 2, 3, 7, 113. Prime factorization of 9492 in exponential form is:

9492 = 2² × 3¹ × 7¹ × 113¹

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 9492

List of positive integer factors of 9492 that divides 9492 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 113, 226, 339, 452, 678, 791, 1356, 1582, 2373, 3164, 4746

Step-4: Factors of 9504

List of positive integer factors of 9504 that divides 9492 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 9492 and 9504. The biggest common factor number is the GCF number.
So the greatest common factor 9492 and 9504 is 12.

Also check out the Least Common Multiple of 9492 and 9504