What is the Greatest Common Factor of 39795 and 39809?

Greatest common factor (GCF) of 39795 and 39809 is 7.

GCF(39795,39809) = 7

We will now calculate the prime factors of 39795 and 39809, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39795 and 39809.

How to find the GCF of 39795 and 39809?

We will first find the prime factorization of 39795 and 39809. After we will calculate the factors of 39795 and 39809 and find the biggest common factor number .

Step-1: Prime Factorization of 39795

Prime factors of 39795 are 3, 5, 7, 379. Prime factorization of 39795 in exponential form is:

39795 = 3¹ × 5¹ × 7¹ × 379¹

Step-2: Prime Factorization of 39809

Prime factors of 39809 are 7, 11, 47. Prime factorization of 39809 in exponential form is:

39809 = 7¹ × 11² × 47¹

Step-3: Factors of 39795

List of positive integer factors of 39795 that divides 39795 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 379, 1137, 1895, 2653, 5685, 7959, 13265

Step-4: Factors of 39809

List of positive integer factors of 39809 that divides 39795 without a remainder.

1, 7, 11, 47, 77, 121, 329, 517, 847, 3619, 5687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39795 and 39809. The biggest common factor number is the GCF number.
So the greatest common factor 39795 and 39809 is 7.

Also check out the Least Common Multiple of 39795 and 39809