What is the Greatest Common Factor of 39666 and 39671?

Greatest common factor (GCF) of 39666 and 39671 is 1.

GCF(39666,39671) = 1

We will now calculate the prime factors of 39666 and 39671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39666 and 39671.

How to find the GCF of 39666 and 39671?

We will first find the prime factorization of 39666 and 39671. After we will calculate the factors of 39666 and 39671 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 39671

Prime factors of 39671 are 39671. Prime factorization of 39671 in exponential form is:

39671 = 39671¹

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 39671

List of positive integer factors of 39671 that divides 39666 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39666 and 39671. The biggest common factor number is the GCF number.
So the greatest common factor 39666 and 39671 is 1.

Also check out the Least Common Multiple of 39666 and 39671