What is the Greatest Common Factor of 17144 and 17156?

Greatest common factor (GCF) of 17144 and 17156 is 4.

GCF(17144,17156) = 4

We will now calculate the prime factors of 17144 and 17156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17144 and 17156.

How to find the GCF of 17144 and 17156?

We will first find the prime factorization of 17144 and 17156. After we will calculate the factors of 17144 and 17156 and find the biggest common factor number .

Step-1: Prime Factorization of 17144

Prime factors of 17144 are 2, 2143. Prime factorization of 17144 in exponential form is:

17144 = 2³ × 2143¹

Step-2: Prime Factorization of 17156

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

17156 = 2² × 4289¹

Step-3: Factors of 17144

List of positive integer factors of 17144 that divides 17144 without a remainder.

1, 2, 4, 8, 2143, 4286, 8572

Step-4: Factors of 17156

List of positive integer factors of 17156 that divides 17144 without a remainder.

1, 2, 4, 4289, 8578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17144 and 17156. The biggest common factor number is the GCF number.
So the greatest common factor 17144 and 17156 is 4.

Also check out the Least Common Multiple of 17144 and 17156