What is the Greatest Common Factor of 10682 and 10687?

Greatest common factor (GCF) of 10682 and 10687 is 1.

GCF(10682,10687) = 1

We will now calculate the prime factors of 10682 and 10687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10682 and 10687.

How to find the GCF of 10682 and 10687?

We will first find the prime factorization of 10682 and 10687. After we will calculate the factors of 10682 and 10687 and find the biggest common factor number .

Step-1: Prime Factorization of 10682

Prime factors of 10682 are 2, 7, 109. Prime factorization of 10682 in exponential form is:

10682 = 2¹ × 7² × 109¹

Step-2: Prime Factorization of 10687

Prime factors of 10687 are 10687. Prime factorization of 10687 in exponential form is:

10687 = 10687¹

Step-3: Factors of 10682

List of positive integer factors of 10682 that divides 10682 without a remainder.

1, 2, 7, 14, 49, 98, 109, 218, 763, 1526, 5341

Step-4: Factors of 10687

List of positive integer factors of 10687 that divides 10682 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10682 and 10687. The biggest common factor number is the GCF number.
So the greatest common factor 10682 and 10687 is 1.

Also check out the Least Common Multiple of 10682 and 10687