What is the Greatest Common Factor of 8565 and 8577?

Greatest common factor (GCF) of 8565 and 8577 is 3.

GCF(8565,8577) = 3

We will now calculate the prime factors of 8565 and 8577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8565 and 8577.

How to find the GCF of 8565 and 8577?

We will first find the prime factorization of 8565 and 8577. After we will calculate the factors of 8565 and 8577 and find the biggest common factor number .

Step-1: Prime Factorization of 8565

Prime factors of 8565 are 3, 5, 571. Prime factorization of 8565 in exponential form is:

8565 = 3¹ × 5¹ × 571¹

Step-2: Prime Factorization of 8577

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

8577 = 3² × 953¹

Step-3: Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1, 3, 5, 15, 571, 1713, 2855

Step-4: Factors of 8577

List of positive integer factors of 8577 that divides 8565 without a remainder.

1, 3, 9, 953, 2859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8565 and 8577. The biggest common factor number is the GCF number.
So the greatest common factor 8565 and 8577 is 3.

Also check out the Least Common Multiple of 8565 and 8577