What is the Greatest Common Factor of 17825 and 17835?

Greatest common factor (GCF) of 17825 and 17835 is 5.

GCF(17825,17835) = 5

We will now calculate the prime factors of 17825 and 17835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17825 and 17835.

How to find the GCF of 17825 and 17835?

We will first find the prime factorization of 17825 and 17835. After we will calculate the factors of 17825 and 17835 and find the biggest common factor number .

Step-1: Prime Factorization of 17825

Prime factors of 17825 are 5, 23, 31. Prime factorization of 17825 in exponential form is:

17825 = 5² × 23¹ × 31¹

Step-2: 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-3: Factors of 17825

List of positive integer factors of 17825 that divides 17825 without a remainder.

1, 5, 23, 25, 31, 115, 155, 575, 713, 775, 3565

Step-4: Factors of 17835

List of positive integer factors of 17835 that divides 17825 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17825 and 17835. The biggest common factor number is the GCF number.
So the greatest common factor 17825 and 17835 is 5.

Also check out the Least Common Multiple of 17825 and 17835