What is the Greatest Common Factor of 17312 and 17320?

Greatest common factor (GCF) of 17312 and 17320 is 8.

GCF(17312,17320) = 8

We will now calculate the prime factors of 17312 and 17320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17312 and 17320.

How to find the GCF of 17312 and 17320?

We will first find the prime factorization of 17312 and 17320. After we will calculate the factors of 17312 and 17320 and find the biggest common factor number .

Step-1: Prime Factorization of 17312

Prime factors of 17312 are 2, 541. Prime factorization of 17312 in exponential form is:

17312 = 2⁵ × 541¹

Step-2: Prime Factorization of 17320

Prime factors of 17320 are 2, 5, 433. Prime factorization of 17320 in exponential form is:

17320 = 2³ × 5¹ × 433¹

Step-3: Factors of 17312

List of positive integer factors of 17312 that divides 17312 without a remainder.

1, 2, 4, 8, 16, 32, 541, 1082, 2164, 4328, 8656

Step-4: Factors of 17320

List of positive integer factors of 17320 that divides 17312 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 433, 866, 1732, 2165, 3464, 4330, 8660

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17312 and 17320. The biggest common factor number is the GCF number.
So the greatest common factor 17312 and 17320 is 8.

Also check out the Least Common Multiple of 17312 and 17320