What is the Greatest Common Factor of 17178 and 17182?

Greatest common factor (GCF) of 17178 and 17182 is 2.

GCF(17178,17182) = 2

We will now calculate the prime factors of 17178 and 17182, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17178 and 17182.

How to find the GCF of 17178 and 17182?

We will first find the prime factorization of 17178 and 17182. After we will calculate the factors of 17178 and 17182 and find the biggest common factor number .

Step-1: Prime Factorization of 17178

Prime factors of 17178 are 2, 3, 7, 409. Prime factorization of 17178 in exponential form is:

17178 = 2¹ × 3¹ × 7¹ × 409¹

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 17178

List of positive integer factors of 17178 that divides 17178 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 409, 818, 1227, 2454, 2863, 5726, 8589

Step-4: Factors of 17182

List of positive integer factors of 17182 that divides 17178 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 17178 and 17182. The biggest common factor number is the GCF number.
So the greatest common factor 17178 and 17182 is 2.

Also check out the Least Common Multiple of 17178 and 17182