What is the Greatest Common Factor of 17200 and 17204?

Greatest common factor (GCF) of 17200 and 17204 is 4.

GCF(17200,17204) = 4

We will now calculate the prime factors of 17200 and 17204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17200 and 17204.

How to find the GCF of 17200 and 17204?

We will first find the prime factorization of 17200 and 17204. After we will calculate the factors of 17200 and 17204 and find the biggest common factor number .

Step-1: Prime Factorization of 17200

Prime factors of 17200 are 2, 5, 43. Prime factorization of 17200 in exponential form is:

17200 = 2⁴ × 5² × 43¹

Step-2: Prime Factorization of 17204

Prime factors of 17204 are 2, 11, 17, 23. Prime factorization of 17204 in exponential form is:

17204 = 2² × 11¹ × 17¹ × 23¹

Step-3: Factors of 17200

List of positive integer factors of 17200 that divides 17200 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 43, 50, 80, 86, 100, 172, 200, 215, 344, 400, 430, 688, 860, 1075, 1720, 2150, 3440, 4300, 8600

Step-4: Factors of 17204

List of positive integer factors of 17204 that divides 17200 without a remainder.

1, 2, 4, 11, 17, 22, 23, 34, 44, 46, 68, 92, 187, 253, 374, 391, 506, 748, 782, 1012, 1564, 4301, 8602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17200 and 17204. The biggest common factor number is the GCF number.
So the greatest common factor 17200 and 17204 is 4.

Also check out the Least Common Multiple of 17200 and 17204