What is the Greatest Common Factor of 17835 and 17845?

Greatest common factor (GCF) of 17835 and 17845 is 5.

GCF(17835,17845) = 5

We will now calculate the prime factors of 17835 and 17845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17835 and 17845.

How to find the GCF of 17835 and 17845?

We will first find the prime factorization of 17835 and 17845. After we will calculate the factors of 17835 and 17845 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 17845

Prime factors of 17845 are 5, 43, 83. Prime factorization of 17845 in exponential form is:

17845 = 5¹ × 43¹ × 83¹

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 17845

List of positive integer factors of 17845 that divides 17835 without a remainder.

1, 5, 43, 83, 215, 415, 3569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17835 and 17845. The biggest common factor number is the GCF number.
So the greatest common factor 17835 and 17845 is 5.

Also check out the Least Common Multiple of 17835 and 17845