What is the Greatest Common Factor of 39609 and 39629?

Greatest common factor (GCF) of 39609 and 39629 is 1.

GCF(39609,39629) = 1

We will now calculate the prime factors of 39609 and 39629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39609 and 39629.

How to find the GCF of 39609 and 39629?

We will first find the prime factorization of 39609 and 39629. After we will calculate the factors of 39609 and 39629 and find the biggest common factor number .

Step-1: Prime Factorization of 39609

Prime factors of 39609 are 3, 163. Prime factorization of 39609 in exponential form is:

39609 = 3⁵ × 163¹

Step-2: Prime Factorization of 39629

Prime factors of 39629 are 23, 1723. Prime factorization of 39629 in exponential form is:

39629 = 23¹ × 1723¹

Step-3: Factors of 39609

List of positive integer factors of 39609 that divides 39609 without a remainder.

1, 3, 9, 27, 81, 163, 243, 489, 1467, 4401, 13203

Step-4: Factors of 39629

List of positive integer factors of 39629 that divides 39609 without a remainder.

1, 23, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39609 and 39629. The biggest common factor number is the GCF number.
So the greatest common factor 39609 and 39629 is 1.

Also check out the Least Common Multiple of 39609 and 39629