What is the Greatest Common Factor of 8577 and 8585?

Greatest common factor (GCF) of 8577 and 8585 is 1.

GCF(8577,8585) = 1

We will now calculate the prime factors of 8577 and 8585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8577 and 8585.

How to find the GCF of 8577 and 8585?

We will first find the prime factorization of 8577 and 8585. After we will calculate the factors of 8577 and 8585 and find the biggest common factor number .

Step-1: Prime Factorization of 8577

Prime factors of 8577 are 3, 953. Prime factorization of 8577 in exponential form is:

8577 = 3² × 953¹

Step-2: 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-3: Factors of 8577

List of positive integer factors of 8577 that divides 8577 without a remainder.

1, 3, 9, 953, 2859

Step-4: Factors of 8585

List of positive integer factors of 8585 that divides 8577 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8577 and 8585. The biggest common factor number is the GCF number.
So the greatest common factor 8577 and 8585 is 1.

Also check out the Least Common Multiple of 8577 and 8585