What is the Greatest Common Factor of 17900 and 17905?

Greatest common factor (GCF) of 17900 and 17905 is 5.

GCF(17900,17905) = 5

We will now calculate the prime factors of 17900 and 17905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17900 and 17905.

How to find the GCF of 17900 and 17905?

We will first find the prime factorization of 17900 and 17905. After we will calculate the factors of 17900 and 17905 and find the biggest common factor number .

Step-1: Prime Factorization of 17900

Prime factors of 17900 are 2, 5, 179. Prime factorization of 17900 in exponential form is:

17900 = 2² × 5² × 179¹

Step-2: Prime Factorization of 17905

Prime factors of 17905 are 5, 3581. Prime factorization of 17905 in exponential form is:

17905 = 5¹ × 3581¹

Step-3: Factors of 17900

List of positive integer factors of 17900 that divides 17900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 179, 358, 716, 895, 1790, 3580, 4475, 8950

Step-4: Factors of 17905

List of positive integer factors of 17905 that divides 17900 without a remainder.

1, 5, 3581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17900 and 17905. The biggest common factor number is the GCF number.
So the greatest common factor 17900 and 17905 is 5.

Also check out the Least Common Multiple of 17900 and 17905