What is the Greatest Common Factor of 9496 and 9500?

Greatest common factor (GCF) of 9496 and 9500 is 4.

GCF(9496,9500) = 4

We will now calculate the prime factors of 9496 and 9500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9496 and 9500.

How to find the GCF of 9496 and 9500?

We will first find the prime factorization of 9496 and 9500. After we will calculate the factors of 9496 and 9500 and find the biggest common factor number .

Step-1: Prime Factorization of 9496

Prime factors of 9496 are 2, 1187. Prime factorization of 9496 in exponential form is:

9496 = 2³ × 1187¹

Step-2: 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-3: Factors of 9496

List of positive integer factors of 9496 that divides 9496 without a remainder.

1, 2, 4, 8, 1187, 2374, 4748

Step-4: Factors of 9500

List of positive integer factors of 9500 that divides 9496 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9496 and 9500. The biggest common factor number is the GCF number.
So the greatest common factor 9496 and 9500 is 4.

Also check out the Least Common Multiple of 9496 and 9500