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 17220, 17226 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17220 and 17226 is 6.
GCF(17220,17226) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17220
2 | 17220 |
2 | 8610 |
3 | 4305 |
5 | 1435 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 17220 are 2,3,5,7,41. Prime factorization of 17220 in exponential form is:
17220 = 22×31×51×71×411
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
∴ So by taking common prime factors GCF of 17220 and 17226 is 6
Factors of 17220
List of positive integer factors of 17220 that divides 17220 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,41,42,60,70,82,84,105,123,140,164,205,210,246,287,410,420,492,574,615,820,861,1148,1230,1435,1722,2460,2870,3444,4305,5740,8610,17220
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
Greatest Common Factor
We found the factors and prime factorization of 17220 and 17226. The biggest common factor number is the GCF number.
So the greatest common factor 17220 and 17226 is 6.
Also check out the Least Common Multiple of 17220 and 17226
(i) The GCF of 17220 and 17226 is associative
GCF of 17220 and 17226 = GCF of 17226 and 17220
1. What is the GCF of 17220 and 17226?
Answer: GCF of 17220 and 17226 is 6.
2. What are the Factors of 17220?
Answer: Factors of 17220 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 41, 42, 60, 70, 82, 84, 105, 123, 140, 164, 205, 210, 246, 287, 410, 420, 492, 574, 615, 820, 861, 1148, 1230, 1435, 1722, 2460, 2870, 3444, 4305, 5740, 8610, 17220. There are 48 integers that are factors of 17220. The greatest factor of 17220 is 17220.
3. 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.
4. How to Find the GCF of 17220 and 17226?
Answer:
Greatest Common Factor of 17220 and 17226 = 6
Step 1: Find the prime factorization of 17220
17220 = 2 x 2 x 3 x 5 x 7 x 41
Step 2: Find the prime factorization of 17226
17226 = 2 x 3 x 3 x 3 x 11 x 29
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 17220 and 17226 is 6