What is the Greatest Common Factor of 9500 and 9504?

Greatest common factor (GCF) of 9500 and 9504 is 4.

GCF(9500,9504) = 4

We will now calculate the prime factors of 9500 and 9504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9500 and 9504.

How to find the GCF of 9500 and 9504?

We will first find the prime factorization of 9500 and 9504. After we will calculate the factors of 9500 and 9504 and find the biggest common factor number .

Step-1: Prime Factorization of 9500

Prime factors of 9500 are 2, 5, 19. Prime factorization of 9500 in exponential form is:

9500 = 2² × 5³ × 19¹

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 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 50, 76, 95, 100, 125, 190, 250, 380, 475, 500, 950, 1900, 2375, 4750

Step-4: Factors of 9504

List of positive integer factors of 9504 that divides 9500 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 9500 and 9504. The biggest common factor number is the GCF number.
So the greatest common factor 9500 and 9504 is 4.

Also check out the Least Common Multiple of 9500 and 9504