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 3383, 3388 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3383 and 3388 is 1.
GCF(3383,3388) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3383
17 | 3383 |
199 | 199 |
1 |
Prime factors of 3383 are 17,199. Prime factorization of 3383 in exponential form is:
3383 = 171×1991
Prime Factorization of 3388
2 | 3388 |
2 | 1694 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 3388 are 2,7,11. Prime factorization of 3388 in exponential form is:
3388 = 22×71×112
∴ So by taking common prime factors GCF of 3383 and 3388 is 1
Factors of 3383
List of positive integer factors of 3383 that divides 3383 without a remainder.
1,17,199,3383
Factors of 3388
List of positive integer factors of 3388 that divides 3388 without a remainder.
1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388
Greatest Common Factor
We found the factors and prime factorization of 3383 and 3388. The biggest common factor number is the GCF number.
So the greatest common factor 3383 and 3388 is 1.
Also check out the Least Common Multiple of 3383 and 3388
(i) The GCF of 3383 and 3388 is associative
GCF of 3383 and 3388 = GCF of 3388 and 3383
1. What is the GCF of 3383 and 3388?
Answer: GCF of 3383 and 3388 is 1.
2. What are the Factors of 3383?
Answer: Factors of 3383 are 1, 17, 199, 3383. There are 4 integers that are factors of 3383. The greatest factor of 3383 is 3383.
3. What are the Factors of 3388?
Answer: Factors of 3388 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388. There are 18 integers that are factors of 3388. The greatest factor of 3388 is 3388.
4. How to Find the GCF of 3383 and 3388?
Answer:
Greatest Common Factor of 3383 and 3388 = 1
Step 1: Find the prime factorization of 3383
3383 = 17 x 199
Step 2: Find the prime factorization of 3388
3388 = 2 x 2 x 7 x 11 x 11
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 3383 and 3388 is 1