What is the Greatest Common Factor of 10686 and 10690?

Greatest common factor (GCF) of 10686 and 10690 is 2.

GCF(10686,10690) = 2

We will now calculate the prime factors of 10686 and 10690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10686 and 10690.

How to find the GCF of 10686 and 10690?

We will first find the prime factorization of 10686 and 10690. After we will calculate the factors of 10686 and 10690 and find the biggest common factor number .

Step-1: Prime Factorization of 10686

Prime factors of 10686 are 2, 3, 13, 137. Prime factorization of 10686 in exponential form is:

10686 = 2¹ × 3¹ × 13¹ × 137¹

Step-2: Prime Factorization of 10690

Prime factors of 10690 are 2, 5, 1069. Prime factorization of 10690 in exponential form is:

10690 = 2¹ × 5¹ × 1069¹

Step-3: Factors of 10686

List of positive integer factors of 10686 that divides 10686 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 137, 274, 411, 822, 1781, 3562, 5343

Step-4: Factors of 10690

List of positive integer factors of 10690 that divides 10686 without a remainder.

1, 2, 5, 10, 1069, 2138, 5345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10686 and 10690. The biggest common factor number is the GCF number.
So the greatest common factor 10686 and 10690 is 2.

Also check out the Least Common Multiple of 10686 and 10690