What is the Greatest Common Factor of 17274 and 17286?

Greatest common factor (GCF) of 17274 and 17286 is 6.

GCF(17274,17286) = 6

We will now calculate the prime factors of 17274 and 17286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17274 and 17286.

How to find the GCF of 17274 and 17286?

We will first find the prime factorization of 17274 and 17286. After we will calculate the factors of 17274 and 17286 and find the biggest common factor number .

Step-1: Prime Factorization of 17274

Prime factors of 17274 are 2, 3, 2879. Prime factorization of 17274 in exponential form is:

17274 = 2¹ × 3¹ × 2879¹

Step-2: Prime Factorization of 17286

Prime factors of 17286 are 2, 3, 43, 67. Prime factorization of 17286 in exponential form is:

17286 = 2¹ × 3¹ × 43¹ × 67¹

Step-3: Factors of 17274

List of positive integer factors of 17274 that divides 17274 without a remainder.

1, 2, 3, 6, 2879, 5758, 8637

Step-4: Factors of 17286

List of positive integer factors of 17286 that divides 17274 without a remainder.

1, 2, 3, 6, 43, 67, 86, 129, 134, 201, 258, 402, 2881, 5762, 8643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17274 and 17286. The biggest common factor number is the GCF number.
So the greatest common factor 17274 and 17286 is 6.

Also check out the Least Common Multiple of 17274 and 17286