Greatest Common Factor of 17226 and 17232

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 17226, 17232 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17226 and 17232 is 6.

GCF(17226,17232) = 6

GCF of 17226 and 17232

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

GCF of:
and

Greatest Common Factor of 17226 and 17232

GCF of 17226 and 17232 is 6

Prime Factorization of 17226


2 17226
3 8613
3 2871
3 957
11 319
29 29
1

Prime factors of 17226 are 2,3,11,29. Prime factorization of 17226 in exponential form is:

17226 = 21×33×111×291

Prime Factorization of 17232


2 17232
2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 17232 are 2,3,359. Prime factorization of 17232 in exponential form is:

17232 = 24×31×3591

∴ So by taking common prime factors GCF of 17226 and 17232 is 6

Greatest Common Factor of 17226 and 17232 by matching factors method

Factors of 17226

List of positive integer factors of 17226 that divides 17226 without a remainder.

1,2,3,6,9,11,18,22,27,29,33,54,58,66,87,99,174,198,261,297,319,522,594,638,783,957,1566,1914,2871,5742,8613,17226

Factors of 17232

List of positive integer factors of 17232 that divides 17232 without a remainder.

1,2,3,4,6,8,12,16,24,48,359,718,1077,1436,2154,2872,4308,5744,8616,17232

Greatest Common Factor

We found the factors and prime factorization of 17226 and 17232. The biggest common factor number is the GCF number.
So the greatest common factor 17226 and 17232 is 6.

Also check out the Least Common Multiple of 17226 and 17232

Properties of GCF 17226 and 17232

(i) The GCF of 17226 and 17232 is associative

GCF of 17226 and 17232 = GCF of 17232 and 17226

Related Greatest Common Factor of 17226

Related Greatest Common Factor of 17232

Frequently Asked Questions on GCF of 17226 and 17232

1. What is the GCF of 17226 and 17232?

Answer: GCF of 17226 and 17232 is 6.

2. What are the Factors of 17226?

Answer: Factors of 17226 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 29, 33, 54, 58, 66, 87, 99, 174, 198, 261, 297, 319, 522, 594, 638, 783, 957, 1566, 1914, 2871, 5742, 8613, 17226. There are 32 integers that are factors of 17226. The greatest factor of 17226 is 17226.

3. What are the Factors of 17232?

Answer: Factors of 17232 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 359, 718, 1077, 1436, 2154, 2872, 4308, 5744, 8616, 17232. There are 20 integers that are factors of 17232. The greatest factor of 17232 is 17232.

4. How to Find the GCF of 17226 and 17232?

Answer:

Greatest Common Factor of 17226 and 17232 = 6

Step 1: Find the prime factorization of 17226

17226 = 2 x 3 x 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 17232

17232 = 2 x 2 x 2 x 2 x 3 x 359

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 17226 and 17232 is 6