What is the Greatest Common Factor of 8667 and 8683?

Greatest common factor (GCF) of 8667 and 8683 is 1.

GCF(8667,8683) = 1

We will now calculate the prime factors of 8667 and 8683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8667 and 8683.

How to find the GCF of 8667 and 8683?

We will first find the prime factorization of 8667 and 8683. After we will calculate the factors of 8667 and 8683 and find the biggest common factor number .

Step-1: Prime Factorization of 8667

Prime factors of 8667 are 3, 107. Prime factorization of 8667 in exponential form is:

8667 = 3⁴ × 107¹

Step-2: Prime Factorization of 8683

Prime factors of 8683 are 19, 457. Prime factorization of 8683 in exponential form is:

8683 = 19¹ × 457¹

Step-3: Factors of 8667

List of positive integer factors of 8667 that divides 8667 without a remainder.

1, 3, 9, 27, 81, 107, 321, 963, 2889

Step-4: Factors of 8683

List of positive integer factors of 8683 that divides 8667 without a remainder.

1, 19, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8667 and 8683. The biggest common factor number is the GCF number.
So the greatest common factor 8667 and 8683 is 1.

Also check out the Least Common Multiple of 8667 and 8683