What is the Greatest Common Factor of 10666 and 10686?

Greatest common factor (GCF) of 10666 and 10686 is 2.

GCF(10666,10686) = 2

We will now calculate the prime factors of 10666 and 10686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10666 and 10686.

How to find the GCF of 10666 and 10686?

We will first find the prime factorization of 10666 and 10686. After we will calculate the factors of 10666 and 10686 and find the biggest common factor number .

Step-1: Prime Factorization of 10666

Prime factors of 10666 are 2, 5333. Prime factorization of 10666 in exponential form is:

10666 = 2¹ × 5333¹

Step-2: 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-3: Factors of 10666

List of positive integer factors of 10666 that divides 10666 without a remainder.

1, 2, 5333

Step-4: Factors of 10686

List of positive integer factors of 10686 that divides 10666 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10666 and 10686. The biggest common factor number is the GCF number.
So the greatest common factor 10666 and 10686 is 2.

Also check out the Least Common Multiple of 10666 and 10686