What is the Greatest Common Factor of 3809 and 3822?

Greatest common factor (GCF) of 3809 and 3822 is 13.

GCF(3809,3822) = 13

We will now calculate the prime factors of 3809 and 3822, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3809 and 3822.

How to find the GCF of 3809 and 3822?

We will first find the prime factorization of 3809 and 3822. After we will calculate the factors of 3809 and 3822 and find the biggest common factor number .

Step-1: Prime Factorization of 3809

Prime factors of 3809 are 13, 293. Prime factorization of 3809 in exponential form is:

3809 = 13¹ × 293¹

Step-2: Prime Factorization of 3822

Prime factors of 3822 are 2, 3, 7, 13. Prime factorization of 3822 in exponential form is:

3822 = 2¹ × 3¹ × 7² × 13¹

Step-3: Factors of 3809

List of positive integer factors of 3809 that divides 3809 without a remainder.

1, 13, 293

Step-4: Factors of 3822

List of positive integer factors of 3822 that divides 3809 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 78, 91, 98, 147, 182, 273, 294, 546, 637, 1274, 1911

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3809 and 3822. The biggest common factor number is the GCF number.
So the greatest common factor 3809 and 3822 is 13.

Also check out the Least Common Multiple of 3809 and 3822