What is the Greatest Common Factor of 8472 and 8487?

Greatest common factor (GCF) of 8472 and 8487 is 3.

GCF(8472,8487) = 3

We will now calculate the prime factors of 8472 and 8487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8472 and 8487.

How to find the GCF of 8472 and 8487?

We will first find the prime factorization of 8472 and 8487. After we will calculate the factors of 8472 and 8487 and find the biggest common factor number .

Step-1: Prime Factorization of 8472

Prime factors of 8472 are 2, 3, 353. Prime factorization of 8472 in exponential form is:

8472 = 2³ × 3¹ × 353¹

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 8472

List of positive integer factors of 8472 that divides 8472 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 353, 706, 1059, 1412, 2118, 2824, 4236

Step-4: Factors of 8487

List of positive integer factors of 8487 that divides 8472 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 8472 and 8487. The biggest common factor number is the GCF number.
So the greatest common factor 8472 and 8487 is 3.

Also check out the Least Common Multiple of 8472 and 8487