What is the Greatest Common Factor of 8585 and 8602?

Greatest common factor (GCF) of 8585 and 8602 is 17.

GCF(8585,8602) = 17

We will now calculate the prime factors of 8585 and 8602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8585 and 8602.

How to find the GCF of 8585 and 8602?

We will first find the prime factorization of 8585 and 8602. After we will calculate the factors of 8585 and 8602 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 8602

Prime factors of 8602 are 2, 11, 17, 23. Prime factorization of 8602 in exponential form is:

8602 = 2¹ × 11¹ × 17¹ × 23¹

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 8602

List of positive integer factors of 8602 that divides 8585 without a remainder.

1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8585 and 8602. The biggest common factor number is the GCF number.
So the greatest common factor 8585 and 8602 is 17.

Also check out the Least Common Multiple of 8585 and 8602