What is the Greatest Common Factor of 17500 and 17515?

Greatest common factor (GCF) of 17500 and 17515 is 5.

GCF(17500,17515) = 5

We will now calculate the prime factors of 17500 and 17515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17500 and 17515.

How to find the GCF of 17500 and 17515?

We will first find the prime factorization of 17500 and 17515. After we will calculate the factors of 17500 and 17515 and find the biggest common factor number .

Step-1: Prime Factorization of 17500

Prime factors of 17500 are 2, 5, 7. Prime factorization of 17500 in exponential form is:

17500 = 2² × 5⁴ × 7¹

Step-2: Prime Factorization of 17515

Prime factors of 17515 are 5, 31, 113. Prime factorization of 17515 in exponential form is:

17515 = 5¹ × 31¹ × 113¹

Step-3: Factors of 17500

List of positive integer factors of 17500 that divides 17500 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 625, 700, 875, 1250, 1750, 2500, 3500, 4375, 8750

Step-4: Factors of 17515

List of positive integer factors of 17515 that divides 17500 without a remainder.

1, 5, 31, 113, 155, 565, 3503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17500 and 17515. The biggest common factor number is the GCF number.
So the greatest common factor 17500 and 17515 is 5.

Also check out the Least Common Multiple of 17500 and 17515