What is the Greatest Common Factor of 39809 and 39821?

Greatest common factor (GCF) of 39809 and 39821 is 1.

GCF(39809,39821) = 1

We will now calculate the prime factors of 39809 and 39821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39809 and 39821.

How to find the GCF of 39809 and 39821?

We will first find the prime factorization of 39809 and 39821. After we will calculate the factors of 39809 and 39821 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39821

Prime factors of 39821 are 39821. Prime factorization of 39821 in exponential form is:

39821 = 39821¹

Step-3: Factors of 39809

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

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

Step-4: Factors of 39821

List of positive integer factors of 39821 that divides 39809 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39809 and 39821. The biggest common factor number is the GCF number.
So the greatest common factor 39809 and 39821 is 1.

Also check out the Least Common Multiple of 39809 and 39821