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, 3335 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3333 and 3335 is 1.
GCF(3333,3335) = 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 3335
5 | 3335 |
23 | 667 |
29 | 29 |
1 |
Prime factors of 3335 are 5,23,29. Prime factorization of 3335 in exponential form is:
3335 = 51×231×291
∴ So by taking common prime factors GCF of 3333 and 3335 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 3335
List of positive integer factors of 3335 that divides 3335 without a remainder.
1,5,23,29,115,145,667,3335
Greatest Common Factor
We found the factors and prime factorization of 3333 and 3335. The biggest common factor number is the GCF number.
So the greatest common factor 3333 and 3335 is 1.
Also check out the Least Common Multiple of 3333 and 3335
(i) The GCF of 3333 and 3335 is associative
GCF of 3333 and 3335 = GCF of 3335 and 3333
1. What is the GCF of 3333 and 3335?
Answer: GCF of 3333 and 3335 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 3335?
Answer: Factors of 3335 are 1, 5, 23, 29, 115, 145, 667, 3335. There are 8 integers that are factors of 3335. The greatest factor of 3335 is 3335.
4. How to Find the GCF of 3333 and 3335?
Answer:
Greatest Common Factor of 3333 and 3335 = 1
Step 1: Find the prime factorization of 3333
3333 = 3 x 11 x 101
Step 2: Find the prime factorization of 3335
3335 = 5 x 23 x 29
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 3335 is 1