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 3304, 3307 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3304 and 3307 is 1.
GCF(3304,3307) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3304
2 | 3304 |
2 | 1652 |
2 | 826 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 3304 are 2,7,59. Prime factorization of 3304 in exponential form is:
3304 = 23×71×591
Prime Factorization of 3307
3307 | 3307 |
1 |
Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:
3307 = 33071
∴ So by taking common prime factors GCF of 3304 and 3307 is 1
Factors of 3304
List of positive integer factors of 3304 that divides 3304 without a remainder.
1,2,4,7,8,14,28,56,59,118,236,413,472,826,1652,3304
Factors of 3307
List of positive integer factors of 3307 that divides 3307 without a remainder.
1,3307
Greatest Common Factor
We found the factors and prime factorization of 3304 and 3307. The biggest common factor number is the GCF number.
So the greatest common factor 3304 and 3307 is 1.
Also check out the Least Common Multiple of 3304 and 3307
(i) The GCF of 3304 and 3307 is associative
GCF of 3304 and 3307 = GCF of 3307 and 3304
1. What is the GCF of 3304 and 3307?
Answer: GCF of 3304 and 3307 is 1.
2. What are the Factors of 3304?
Answer: Factors of 3304 are 1, 2, 4, 7, 8, 14, 28, 56, 59, 118, 236, 413, 472, 826, 1652, 3304. There are 16 integers that are factors of 3304. The greatest factor of 3304 is 3304.
3. What are the Factors of 3307?
Answer: Factors of 3307 are 1, 3307. There are 2 integers that are factors of 3307. The greatest factor of 3307 is 3307.
4. How to Find the GCF of 3304 and 3307?
Answer:
Greatest Common Factor of 3304 and 3307 = 1
Step 1: Find the prime factorization of 3304
3304 = 2 x 2 x 2 x 7 x 59
Step 2: Find the prime factorization of 3307
3307 = 3307
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 3304 and 3307 is 1