What is the Greatest Common Factor of 17164 and 17182?

Greatest common factor (GCF) of 17164 and 17182 is 2.

GCF(17164,17182) = 2

We will now calculate the prime factors of 17164 and 17182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17164 and 17182.

How to find the GCF of 17164 and 17182?

We will first find the prime factorization of 17164 and 17182. After we will calculate the factors of 17164 and 17182 and find the biggest common factor number .

Step-1: Prime Factorization of 17164

Prime factors of 17164 are 2, 7, 613. Prime factorization of 17164 in exponential form is:

17164 = 2² × 7¹ × 613¹

Step-2: 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-3: Factors of 17164

List of positive integer factors of 17164 that divides 17164 without a remainder.

1, 2, 4, 7, 14, 28, 613, 1226, 2452, 4291, 8582

Step-4: Factors of 17182

List of positive integer factors of 17182 that divides 17164 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17164 and 17182. The biggest common factor number is the GCF number.
So the greatest common factor 17164 and 17182 is 2.

Also check out the Least Common Multiple of 17164 and 17182