What is the Greatest Common Factor of 10682 and 10699?

Greatest common factor (GCF) of 10682 and 10699 is 1.

GCF(10682,10699) = 1

We will now calculate the prime factors of 10682 and 10699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10682 and 10699.

How to find the GCF of 10682 and 10699?

We will first find the prime factorization of 10682 and 10699. After we will calculate the factors of 10682 and 10699 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 10699

Prime factors of 10699 are 13, 823. Prime factorization of 10699 in exponential form is:

10699 = 13¹ × 823¹

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 10699

List of positive integer factors of 10699 that divides 10682 without a remainder.

1, 13, 823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10682 and 10699. The biggest common factor number is the GCF number.
So the greatest common factor 10682 and 10699 is 1.

Also check out the Least Common Multiple of 10682 and 10699