What is the Greatest Common Factor of 39666 and 39686?

Greatest common factor (GCF) of 39666 and 39686 is 2.

GCF(39666,39686) = 2

We will now calculate the prime factors of 39666 and 39686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39666 and 39686.

How to find the GCF of 39666 and 39686?

We will first find the prime factorization of 39666 and 39686. After we will calculate the factors of 39666 and 39686 and find the biggest common factor number .

Step-1: Prime Factorization of 39666

Prime factors of 39666 are 2, 3, 11, 601. Prime factorization of 39666 in exponential form is:

39666 = 2¹ × 3¹ × 11¹ × 601¹

Step-2: Prime Factorization of 39686

Prime factors of 39686 are 2, 19843. Prime factorization of 39686 in exponential form is:

39686 = 2¹ × 19843¹

Step-3: Factors of 39666

List of positive integer factors of 39666 that divides 39666 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 601, 1202, 1803, 3606, 6611, 13222, 19833

Step-4: Factors of 39686

List of positive integer factors of 39686 that divides 39666 without a remainder.

1, 2, 19843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39666 and 39686. The biggest common factor number is the GCF number.
So the greatest common factor 39666 and 39686 is 2.

Also check out the Least Common Multiple of 39666 and 39686