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 3375, 3383 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3375 and 3383 is 1.
GCF(3375,3383) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3375
3 | 3375 |
3 | 1125 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 3375 are 3,5. Prime factorization of 3375 in exponential form is:
3375 = 33×53
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
∴ So by taking common prime factors GCF of 3375 and 3383 is 1
Factors of 3375
List of positive integer factors of 3375 that divides 3375 without a remainder.
1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375
Factors of 3383
List of positive integer factors of 3383 that divides 3383 without a remainder.
1,17,199,3383
Greatest Common Factor
We found the factors and prime factorization of 3375 and 3383. The biggest common factor number is the GCF number.
So the greatest common factor 3375 and 3383 is 1.
Also check out the Least Common Multiple of 3375 and 3383
(i) The GCF of 3375 and 3383 is associative
GCF of 3375 and 3383 = GCF of 3383 and 3375
1. What is the GCF of 3375 and 3383?
Answer: GCF of 3375 and 3383 is 1.
2. What are the Factors of 3375?
Answer: Factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375. There are 16 integers that are factors of 3375. The greatest factor of 3375 is 3375.
3. 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.
4. How to Find the GCF of 3375 and 3383?
Answer:
Greatest Common Factor of 3375 and 3383 = 1
Step 1: Find the prime factorization of 3375
3375 = 3 x 3 x 3 x 5 x 5 x 5
Step 2: Find the prime factorization of 3383
3383 = 17 x 199
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 3375 and 3383 is 1