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 3300, 3307 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3300 and 3307 is 1.
GCF(3300,3307) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3300
2 | 3300 |
2 | 1650 |
3 | 825 |
5 | 275 |
5 | 55 |
11 | 11 |
1 |
Prime factors of 3300 are 2,3,5,11. Prime factorization of 3300 in exponential form is:
3300 = 22×31×52×111
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 3300 and 3307 is 1
Factors of 3300
List of positive integer factors of 3300 that divides 3300 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,25,30,33,44,50,55,60,66,75,100,110,132,150,165,220,275,300,330,550,660,825,1100,1650,3300
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 3300 and 3307. The biggest common factor number is the GCF number.
So the greatest common factor 3300 and 3307 is 1.
Also check out the Least Common Multiple of 3300 and 3307
(i) The GCF of 3300 and 3307 is associative
GCF of 3300 and 3307 = GCF of 3307 and 3300
1. What is the GCF of 3300 and 3307?
Answer: GCF of 3300 and 3307 is 1.
2. What are the Factors of 3300?
Answer: Factors of 3300 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 25, 30, 33, 44, 50, 55, 60, 66, 75, 100, 110, 132, 150, 165, 220, 275, 300, 330, 550, 660, 825, 1100, 1650, 3300. There are 36 integers that are factors of 3300. The greatest factor of 3300 is 3300.
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 3300 and 3307?
Answer:
Greatest Common Factor of 3300 and 3307 = 1
Step 1: Find the prime factorization of 3300
3300 = 2 x 2 x 3 x 5 x 5 x 11
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 3300 and 3307 is 1