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 3333, 3341 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3333 and 3341 is 1.
GCF(3333,3341) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3333
3 | 3333 |
11 | 1111 |
101 | 101 |
1 |
Prime factors of 3333 are 3,11,101. Prime factorization of 3333 in exponential form is:
3333 = 31×111×1011
Prime Factorization of 3341
13 | 3341 |
257 | 257 |
1 |
Prime factors of 3341 are 13,257. Prime factorization of 3341 in exponential form is:
3341 = 131×2571
∴ So by taking common prime factors GCF of 3333 and 3341 is 1
Factors of 3333
List of positive integer factors of 3333 that divides 3333 without a remainder.
1,3,11,33,101,303,1111,3333
Factors of 3341
List of positive integer factors of 3341 that divides 3341 without a remainder.
1,13,257,3341
Greatest Common Factor
We found the factors and prime factorization of 3333 and 3341. The biggest common factor number is the GCF number.
So the greatest common factor 3333 and 3341 is 1.
Also check out the Least Common Multiple of 3333 and 3341
(i) The GCF of 3333 and 3341 is associative
GCF of 3333 and 3341 = GCF of 3341 and 3333
1. What is the GCF of 3333 and 3341?
Answer: GCF of 3333 and 3341 is 1.
2. What are the Factors of 3333?
Answer: Factors of 3333 are 1, 3, 11, 33, 101, 303, 1111, 3333. There are 8 integers that are factors of 3333. The greatest factor of 3333 is 3333.
3. What are the Factors of 3341?
Answer: Factors of 3341 are 1, 13, 257, 3341. There are 4 integers that are factors of 3341. The greatest factor of 3341 is 3341.
4. How to Find the GCF of 3333 and 3341?
Answer:
Greatest Common Factor of 3333 and 3341 = 1
Step 1: Find the prime factorization of 3333
3333 = 3 x 11 x 101
Step 2: Find the prime factorization of 3341
3341 = 13 x 257
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 3333 and 3341 is 1