What is the Greatest Common Factor of 8480 and 8487?

Greatest common factor (GCF) of 8480 and 8487 is 1.

GCF(8480,8487) = 1

We will now calculate the prime factors of 8480 and 8487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8480 and 8487.

How to find the GCF of 8480 and 8487?

We will first find the prime factorization of 8480 and 8487. After we will calculate the factors of 8480 and 8487 and find the biggest common factor number .

Step-1: Prime Factorization of 8480

Prime factors of 8480 are 2, 5, 53. Prime factorization of 8480 in exponential form is:

8480 = 2⁵ × 5¹ × 53¹

Step-2: Prime Factorization of 8487

Prime factors of 8487 are 3, 23, 41. Prime factorization of 8487 in exponential form is:

8487 = 3² × 23¹ × 41¹

Step-3: Factors of 8480

List of positive integer factors of 8480 that divides 8480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 53, 80, 106, 160, 212, 265, 424, 530, 848, 1060, 1696, 2120, 4240

Step-4: Factors of 8487

List of positive integer factors of 8487 that divides 8480 without a remainder.

1, 3, 9, 23, 41, 69, 123, 207, 369, 943, 2829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8480 and 8487. The biggest common factor number is the GCF number.
So the greatest common factor 8480 and 8487 is 1.

Also check out the Least Common Multiple of 8480 and 8487