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 3378, 3385 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3378 and 3385 is 1.
GCF(3378,3385) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3378
2 | 3378 |
3 | 1689 |
563 | 563 |
1 |
Prime factors of 3378 are 2,3,563. Prime factorization of 3378 in exponential form is:
3378 = 21×31×5631
Prime Factorization of 3385
5 | 3385 |
677 | 677 |
1 |
Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:
3385 = 51×6771
∴ So by taking common prime factors GCF of 3378 and 3385 is 1
Factors of 3378
List of positive integer factors of 3378 that divides 3378 without a remainder.
1,2,3,6,563,1126,1689,3378
Factors of 3385
List of positive integer factors of 3385 that divides 3385 without a remainder.
1,5,677,3385
Greatest Common Factor
We found the factors and prime factorization of 3378 and 3385. The biggest common factor number is the GCF number.
So the greatest common factor 3378 and 3385 is 1.
Also check out the Least Common Multiple of 3378 and 3385
(i) The GCF of 3378 and 3385 is associative
GCF of 3378 and 3385 = GCF of 3385 and 3378
1. What is the GCF of 3378 and 3385?
Answer: GCF of 3378 and 3385 is 1.
2. What are the Factors of 3378?
Answer: Factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378. There are 8 integers that are factors of 3378. The greatest factor of 3378 is 3378.
3. What are the Factors of 3385?
Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.
4. How to Find the GCF of 3378 and 3385?
Answer:
Greatest Common Factor of 3378 and 3385 = 1
Step 1: Find the prime factorization of 3378
3378 = 2 x 3 x 563
Step 2: Find the prime factorization of 3385
3385 = 5 x 677
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 3378 and 3385 is 1