What is the Greatest Common Factor of 9480 and 9487?

Greatest common factor (GCF) of 9480 and 9487 is 1.

GCF(9480,9487) = 1

We will now calculate the prime factors of 9480 and 9487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9480 and 9487.

How to find the GCF of 9480 and 9487?

We will first find the prime factorization of 9480 and 9487. After we will calculate the factors of 9480 and 9487 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 9487

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

9487 = 53¹ × 179¹

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 9487

List of positive integer factors of 9487 that divides 9480 without a remainder.

1, 53, 179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9480 and 9487. The biggest common factor number is the GCF number.
So the greatest common factor 9480 and 9487 is 1.

Also check out the Least Common Multiple of 9480 and 9487