What is the Greatest Common Factor of 8687 and 8705?

Greatest common factor (GCF) of 8687 and 8705 is 1.

GCF(8687,8705) = 1

We will now calculate the prime factors of 8687 and 8705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8687 and 8705.

How to find the GCF of 8687 and 8705?

We will first find the prime factorization of 8687 and 8705. After we will calculate the factors of 8687 and 8705 and find the biggest common factor number .

Step-1: Prime Factorization of 8687

Prime factors of 8687 are 7, 17, 73. Prime factorization of 8687 in exponential form is:

8687 = 7¹ × 17¹ × 73¹

Step-2: Prime Factorization of 8705

Prime factors of 8705 are 5, 1741. Prime factorization of 8705 in exponential form is:

8705 = 5¹ × 1741¹

Step-3: Factors of 8687

List of positive integer factors of 8687 that divides 8687 without a remainder.

1, 7, 17, 73, 119, 511, 1241

Step-4: Factors of 8705

List of positive integer factors of 8705 that divides 8687 without a remainder.

1, 5, 1741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8687 and 8705. The biggest common factor number is the GCF number.
So the greatest common factor 8687 and 8705 is 1.

Also check out the Least Common Multiple of 8687 and 8705