What is the Greatest Common Factor of 8686 and 8699?

Greatest common factor (GCF) of 8686 and 8699 is 1.

GCF(8686,8699) = 1

We will now calculate the prime factors of 8686 and 8699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8686 and 8699.

How to find the GCF of 8686 and 8699?

We will first find the prime factorization of 8686 and 8699. After we will calculate the factors of 8686 and 8699 and find the biggest common factor number .

Step-1: Prime Factorization of 8686

Prime factors of 8686 are 2, 43, 101. Prime factorization of 8686 in exponential form is:

8686 = 2¹ × 43¹ × 101¹

Step-2: Prime Factorization of 8699

Prime factors of 8699 are 8699. Prime factorization of 8699 in exponential form is:

8699 = 8699¹

Step-3: Factors of 8686

List of positive integer factors of 8686 that divides 8686 without a remainder.

1, 2, 43, 86, 101, 202, 4343

Step-4: Factors of 8699

List of positive integer factors of 8699 that divides 8686 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8686 and 8699. The biggest common factor number is the GCF number.
So the greatest common factor 8686 and 8699 is 1.

Also check out the Least Common Multiple of 8686 and 8699