What is the Greatest Common Factor of 13821 and 13835?

Greatest common factor (GCF) of 13821 and 13835 is 1.

GCF(13821,13835) = 1

We will now calculate the prime factors of 13821 and 13835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13821 and 13835.

How to find the GCF of 13821 and 13835?

We will first find the prime factorization of 13821 and 13835. After we will calculate the factors of 13821 and 13835 and find the biggest common factor number .

Step-1: Prime Factorization of 13821

Prime factors of 13821 are 3, 17, 271. Prime factorization of 13821 in exponential form is:

13821 = 3¹ × 17¹ × 271¹

Step-2: Prime Factorization of 13835

Prime factors of 13835 are 5, 2767. Prime factorization of 13835 in exponential form is:

13835 = 5¹ × 2767¹

Step-3: Factors of 13821

List of positive integer factors of 13821 that divides 13821 without a remainder.

1, 3, 17, 51, 271, 813, 4607

Step-4: Factors of 13835

List of positive integer factors of 13835 that divides 13821 without a remainder.

1, 5, 2767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13821 and 13835. The biggest common factor number is the GCF number.
So the greatest common factor 13821 and 13835 is 1.

Also check out the Least Common Multiple of 13821 and 13835