What is the Greatest Common Factor of 17256 and 17274?

Greatest common factor (GCF) of 17256 and 17274 is 6.

GCF(17256,17274) = 6

We will now calculate the prime factors of 17256 and 17274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17256 and 17274.

How to find the GCF of 17256 and 17274?

We will first find the prime factorization of 17256 and 17274. After we will calculate the factors of 17256 and 17274 and find the biggest common factor number .

Step-1: Prime Factorization of 17256

Prime factors of 17256 are 2, 3, 719. Prime factorization of 17256 in exponential form is:

17256 = 2³ × 3¹ × 719¹

Step-2: 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-3: Factors of 17256

List of positive integer factors of 17256 that divides 17256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 719, 1438, 2157, 2876, 4314, 5752, 8628

Step-4: Factors of 17274

List of positive integer factors of 17274 that divides 17256 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17256 and 17274. The biggest common factor number is the GCF number.
So the greatest common factor 17256 and 17274 is 6.

Also check out the Least Common Multiple of 17256 and 17274