What is the Greatest Common Factor of 17182 and 17188?

Greatest common factor (GCF) of 17182 and 17188 is 2.

GCF(17182,17188) = 2

We will now calculate the prime factors of 17182 and 17188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17182 and 17188.

How to find the GCF of 17182 and 17188?

We will first find the prime factorization of 17182 and 17188. After we will calculate the factors of 17182 and 17188 and find the biggest common factor number .

Step-1: Prime Factorization of 17182

Prime factors of 17182 are 2, 11, 71. Prime factorization of 17182 in exponential form is:

17182 = 2¹ × 11² × 71¹

Step-2: Prime Factorization of 17188

Prime factors of 17188 are 2, 4297. Prime factorization of 17188 in exponential form is:

17188 = 2² × 4297¹

Step-3: Factors of 17182

List of positive integer factors of 17182 that divides 17182 without a remainder.

1, 2, 11, 22, 71, 121, 142, 242, 781, 1562, 8591

Step-4: Factors of 17188

List of positive integer factors of 17188 that divides 17182 without a remainder.

1, 2, 4, 4297, 8594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17182 and 17188. The biggest common factor number is the GCF number.
So the greatest common factor 17182 and 17188 is 2.

Also check out the Least Common Multiple of 17182 and 17188