What is the Greatest Common Factor of 17156 and 17174?

Greatest common factor (GCF) of 17156 and 17174 is 2.

GCF(17156,17174) = 2

We will now calculate the prime factors of 17156 and 17174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17156 and 17174.

How to find the GCF of 17156 and 17174?

We will first find the prime factorization of 17156 and 17174. After we will calculate the factors of 17156 and 17174 and find the biggest common factor number .

Step-1: Prime Factorization of 17156

Prime factors of 17156 are 2, 4289. Prime factorization of 17156 in exponential form is:

17156 = 2² × 4289¹

Step-2: Prime Factorization of 17174

Prime factors of 17174 are 2, 31, 277. Prime factorization of 17174 in exponential form is:

17174 = 2¹ × 31¹ × 277¹

Step-3: Factors of 17156

List of positive integer factors of 17156 that divides 17156 without a remainder.

1, 2, 4, 4289, 8578

Step-4: Factors of 17174

List of positive integer factors of 17174 that divides 17156 without a remainder.

1, 2, 31, 62, 277, 554, 8587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17156 and 17174. The biggest common factor number is the GCF number.
So the greatest common factor 17156 and 17174 is 2.

Also check out the Least Common Multiple of 17156 and 17174