What is the Greatest Common Factor of 9480 and 9500?

Greatest common factor (GCF) of 9480 and 9500 is 20.

GCF(9480,9500) = 20

We will now calculate the prime factors of 9480 and 9500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9480 and 9500.

How to find the GCF of 9480 and 9500?

We will first find the prime factorization of 9480 and 9500. After we will calculate the factors of 9480 and 9500 and find the biggest common factor number .

Step-1: Prime Factorization of 9480

Prime factors of 9480 are 2, 3, 5, 79. Prime factorization of 9480 in exponential form is:

9480 = 2³ × 3¹ × 5¹ × 79¹

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 9480

List of positive integer factors of 9480 that divides 9480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 79, 120, 158, 237, 316, 395, 474, 632, 790, 948, 1185, 1580, 1896, 2370, 3160, 4740

Step-4: Factors of 9500

List of positive integer factors of 9500 that divides 9480 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 9480 and 9500. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9500 is 20.

Also check out the Least Common Multiple of 9480 and 9500