What is the Greatest Common Factor of 39666 and 39675?

Greatest common factor (GCF) of 39666 and 39675 is 3.

GCF(39666,39675) = 3

We will now calculate the prime factors of 39666 and 39675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39666 and 39675.

How to find the GCF of 39666 and 39675?

We will first find the prime factorization of 39666 and 39675. After we will calculate the factors of 39666 and 39675 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 39675

Prime factors of 39675 are 3, 5, 23. Prime factorization of 39675 in exponential form is:

39675 = 3¹ × 5² × 23²

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 39675

List of positive integer factors of 39675 that divides 39666 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 529, 575, 1587, 1725, 2645, 7935, 13225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39666 and 39675. The biggest common factor number is the GCF number.
So the greatest common factor 39666 and 39675 is 3.

Also check out the Least Common Multiple of 39666 and 39675