What is the Greatest Common Factor of 17835 and 17849?

Greatest common factor (GCF) of 17835 and 17849 is 1.

GCF(17835,17849) = 1

We will now calculate the prime factors of 17835 and 17849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17835 and 17849.

How to find the GCF of 17835 and 17849?

We will first find the prime factorization of 17835 and 17849. After we will calculate the factors of 17835 and 17849 and find the biggest common factor number .

Step-1: Prime Factorization of 17835

Prime factors of 17835 are 3, 5, 29, 41. Prime factorization of 17835 in exponential form is:

17835 = 3¹ × 5¹ × 29¹ × 41¹

Step-2: Prime Factorization of 17849

Prime factors of 17849 are 13, 1373. Prime factorization of 17849 in exponential form is:

17849 = 13¹ × 1373¹

Step-3: Factors of 17835

List of positive integer factors of 17835 that divides 17835 without a remainder.

1, 3, 5, 15, 29, 41, 87, 123, 145, 205, 435, 615, 1189, 3567, 5945

Step-4: Factors of 17849

List of positive integer factors of 17849 that divides 17835 without a remainder.

1, 13, 1373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17835 and 17849. The biggest common factor number is the GCF number.
So the greatest common factor 17835 and 17849 is 1.

Also check out the Least Common Multiple of 17835 and 17849