Greatest Common Factor of 17322 and 17328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 17322, 17328 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17322 and 17328 is 6.

GCF(17322,17328) = 6

GCF of 17322 and 17328

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 17322 and 17328

GCF of 17322 and 17328 is 6

Prime Factorization of 17322


2 17322
3 8661
2887 2887
1

Prime factors of 17322 are 2,3,2887. Prime factorization of 17322 in exponential form is:

17322 = 21×31×28871

Prime Factorization of 17328


2 17328
2 8664
2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 17328 are 2,3,19. Prime factorization of 17328 in exponential form is:

17328 = 24×31×192

∴ So by taking common prime factors GCF of 17322 and 17328 is 6

Greatest Common Factor of 17322 and 17328 by matching factors method

Factors of 17322

List of positive integer factors of 17322 that divides 17322 without a remainder.

1,2,3,6,2887,5774,8661,17322

Factors of 17328

List of positive integer factors of 17328 that divides 17328 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,361,456,722,912,1083,1444,2166,2888,4332,5776,8664,17328

Greatest Common Factor

We found the factors and prime factorization of 17322 and 17328. The biggest common factor number is the GCF number.
So the greatest common factor 17322 and 17328 is 6.

Also check out the Least Common Multiple of 17322 and 17328

Properties of GCF 17322 and 17328

(i) The GCF of 17322 and 17328 is associative

GCF of 17322 and 17328 = GCF of 17328 and 17322

Related Greatest Common Factor of 17322

Related Greatest Common Factor of 17328

Frequently Asked Questions on GCF of 17322 and 17328

1. What is the GCF of 17322 and 17328?

Answer: GCF of 17322 and 17328 is 6.

2. What are the Factors of 17322?

Answer: Factors of 17322 are 1, 2, 3, 6, 2887, 5774, 8661, 17322. There are 8 integers that are factors of 17322. The greatest factor of 17322 is 17322.

3. What are the Factors of 17328?

Answer: Factors of 17328 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 361, 456, 722, 912, 1083, 1444, 2166, 2888, 4332, 5776, 8664, 17328. There are 30 integers that are factors of 17328. The greatest factor of 17328 is 17328.

4. How to Find the GCF of 17322 and 17328?

Answer:

Greatest Common Factor of 17322 and 17328 = 6

Step 1: Find the prime factorization of 17322

17322 = 2 x 3 x 2887

Step 2: Find the prime factorization of 17328

17328 = 2 x 2 x 2 x 2 x 3 x 19 x 19

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 17322 and 17328 is 6