What is the Greatest Common Factor of 17900 and 17915?

Greatest common factor (GCF) of 17900 and 17915 is 5.

GCF(17900,17915) = 5

We will now calculate the prime factors of 17900 and 17915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17900 and 17915.

How to find the GCF of 17900 and 17915?

We will first find the prime factorization of 17900 and 17915. After we will calculate the factors of 17900 and 17915 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 17915

Prime factors of 17915 are 5, 3583. Prime factorization of 17915 in exponential form is:

17915 = 5¹ × 3583¹

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 17915

List of positive integer factors of 17915 that divides 17900 without a remainder.

1, 5, 3583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17900 and 17915. The biggest common factor number is the GCF number.
So the greatest common factor 17900 and 17915 is 5.

Also check out the Least Common Multiple of 17900 and 17915