What is the Greatest Common Factor of 9487 and 9500?

Greatest common factor (GCF) of 9487 and 9500 is 1.

GCF(9487,9500) = 1

We will now calculate the prime factors of 9487 and 9500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9487 and 9500.

How to find the GCF of 9487 and 9500?

We will first find the prime factorization of 9487 and 9500. After we will calculate the factors of 9487 and 9500 and find the biggest common factor number .

Step-1: Prime Factorization of 9487

Prime factors of 9487 are 53, 179. Prime factorization of 9487 in exponential form is:

9487 = 53¹ × 179¹

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 9487

List of positive integer factors of 9487 that divides 9487 without a remainder.

1, 53, 179

Step-4: Factors of 9500

List of positive integer factors of 9500 that divides 9487 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 9487 and 9500. The biggest common factor number is the GCF number.
So the greatest common factor 9487 and 9500 is 1.

Also check out the Least Common Multiple of 9487 and 9500