What is the Greatest Common Factor of 8585 and 8600?

Greatest common factor (GCF) of 8585 and 8600 is 5.

GCF(8585,8600) = 5

We will now calculate the prime factors of 8585 and 8600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8585 and 8600.

How to find the GCF of 8585 and 8600?

We will first find the prime factorization of 8585 and 8600. After we will calculate the factors of 8585 and 8600 and find the biggest common factor number .

Step-1: Prime Factorization of 8585

Prime factors of 8585 are 5, 17, 101. Prime factorization of 8585 in exponential form is:

8585 = 5¹ × 17¹ × 101¹

Step-2: Prime Factorization of 8600

Prime factors of 8600 are 2, 5, 43. Prime factorization of 8600 in exponential form is:

8600 = 2³ × 5² × 43¹

Step-3: Factors of 8585

List of positive integer factors of 8585 that divides 8585 without a remainder.

1, 5, 17, 85, 101, 505, 1717

Step-4: Factors of 8600

List of positive integer factors of 8600 that divides 8585 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8585 and 8600. The biggest common factor number is the GCF number.
So the greatest common factor 8585 and 8600 is 5.

Also check out the Least Common Multiple of 8585 and 8600