Greatest Common Factor of 17328 and 17332

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 17328, 17332 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17328 and 17332 is 4.

GCF(17328,17332) = 4

GCF of 17328 and 17332

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

GCF of:
and

Greatest Common Factor of 17328 and 17332

GCF of 17328 and 17332 is 4

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

Prime Factorization of 17332


2 17332
2 8666
7 4333
619 619
1

Prime factors of 17332 are 2,7,619. Prime factorization of 17332 in exponential form is:

17332 = 22×71×6191

∴ So by taking common prime factors GCF of 17328 and 17332 is 4

Greatest Common Factor of 17328 and 17332 by matching factors method

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

Factors of 17332

List of positive integer factors of 17332 that divides 17332 without a remainder.

1,2,4,7,14,28,619,1238,2476,4333,8666,17332

Greatest Common Factor

We found the factors and prime factorization of 17328 and 17332. The biggest common factor number is the GCF number.
So the greatest common factor 17328 and 17332 is 4.

Also check out the Least Common Multiple of 17328 and 17332

Properties of GCF 17328 and 17332

(i) The GCF of 17328 and 17332 is associative

GCF of 17328 and 17332 = GCF of 17332 and 17328

Related Greatest Common Factor of 17328

Related Greatest Common Factor of 17332

Frequently Asked Questions on GCF of 17328 and 17332

1. What is the GCF of 17328 and 17332?

Answer: GCF of 17328 and 17332 is 4.

2. 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.

3. What are the Factors of 17332?

Answer: Factors of 17332 are 1, 2, 4, 7, 14, 28, 619, 1238, 2476, 4333, 8666, 17332. There are 12 integers that are factors of 17332. The greatest factor of 17332 is 17332.

4. How to Find the GCF of 17328 and 17332?

Answer:

Greatest Common Factor of 17328 and 17332 = 4

Step 1: Find the prime factorization of 17328

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

Step 2: Find the prime factorization of 17332

17332 = 2 x 2 x 7 x 619

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 17328 and 17332 is 4