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 8228, 8235 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8228 and 8235 is 1.
GCF(8228,8235) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8228
2 | 8228 |
2 | 4114 |
11 | 2057 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 8228 are 2,11,17. Prime factorization of 8228 in exponential form is:
8228 = 22×112×171
Prime Factorization of 8235
3 | 8235 |
3 | 2745 |
3 | 915 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 8235 are 3,5,61. Prime factorization of 8235 in exponential form is:
8235 = 33×51×611
∴ So by taking common prime factors GCF of 8228 and 8235 is 1
Factors of 8228
List of positive integer factors of 8228 that divides 8228 without a remainder.
1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Factors of 8235
List of positive integer factors of 8235 that divides 8235 without a remainder.
1,3,5,9,15,27,45,61,135,183,305,549,915,1647,2745,8235
Greatest Common Factor
We found the factors and prime factorization of 8228 and 8235. The biggest common factor number is the GCF number.
So the greatest common factor 8228 and 8235 is 1.
Also check out the Least Common Multiple of 8228 and 8235
(i) The GCF of 8228 and 8235 is associative
GCF of 8228 and 8235 = GCF of 8235 and 8228
1. What is the GCF of 8228 and 8235?
Answer: GCF of 8228 and 8235 is 1.
2. What are the Factors of 8228?
Answer: Factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228. There are 18 integers that are factors of 8228. The greatest factor of 8228 is 8228.
3. What are the Factors of 8235?
Answer: Factors of 8235 are 1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745, 8235. There are 16 integers that are factors of 8235. The greatest factor of 8235 is 8235.
4. How to Find the GCF of 8228 and 8235?
Answer:
Greatest Common Factor of 8228 and 8235 = 1
Step 1: Find the prime factorization of 8228
8228 = 2 x 2 x 11 x 11 x 17
Step 2: Find the prime factorization of 8235
8235 = 3 x 3 x 3 x 5 x 61
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8228 and 8235 is 1