What is the Greatest Common Factor of 17244 and 17256?

Greatest common factor (GCF) of 17244 and 17256 is 12.

GCF(17244,17256) = 12

We will now calculate the prime factors of 17244 and 17256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17244 and 17256.

How to find the GCF of 17244 and 17256?

We will first find the prime factorization of 17244 and 17256. After we will calculate the factors of 17244 and 17256 and find the biggest common factor number .

Step-1: Prime Factorization of 17244

Prime factors of 17244 are 2, 3, 479. Prime factorization of 17244 in exponential form is:

17244 = 2² × 3² × 479¹

Step-2: 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-3: Factors of 17244

List of positive integer factors of 17244 that divides 17244 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 479, 958, 1437, 1916, 2874, 4311, 5748, 8622

Step-4: Factors of 17256

List of positive integer factors of 17256 that divides 17244 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17244 and 17256. The biggest common factor number is the GCF number.
So the greatest common factor 17244 and 17256 is 12.

Also check out the Least Common Multiple of 17244 and 17256