What is the Greatest Common Factor of 17204 and 17208?

Greatest common factor (GCF) of 17204 and 17208 is 4.

GCF(17204,17208) = 4

We will now calculate the prime factors of 17204 and 17208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17204 and 17208.

How to find the GCF of 17204 and 17208?

We will first find the prime factorization of 17204 and 17208. After we will calculate the factors of 17204 and 17208 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17208

Prime factors of 17208 are 2, 3, 239. Prime factorization of 17208 in exponential form is:

17208 = 2³ × 3² × 239¹

Step-3: Factors of 17204

List of positive integer factors of 17204 that divides 17204 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

Step-4: Factors of 17208

List of positive integer factors of 17208 that divides 17204 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 4302, 5736, 8604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17204 and 17208. The biggest common factor number is the GCF number.
So the greatest common factor 17204 and 17208 is 4.

Also check out the Least Common Multiple of 17204 and 17208