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 2700, 2704 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2700 and 2704 is 4.
GCF(2700,2704) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2700
2 | 2700 |
2 | 1350 |
3 | 675 |
3 | 225 |
3 | 75 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 2700 are 2,3,5. Prime factorization of 2700 in exponential form is:
2700 = 22×33×52
Prime Factorization of 2704
2 | 2704 |
2 | 1352 |
2 | 676 |
2 | 338 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:
2704 = 24×132
∴ So by taking common prime factors GCF of 2700 and 2704 is 4
Factors of 2700
List of positive integer factors of 2700 that divides 2700 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
Factors of 2704
List of positive integer factors of 2704 that divides 2704 without a remainder.
1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704
Greatest Common Factor
We found the factors and prime factorization of 2700 and 2704. The biggest common factor number is the GCF number.
So the greatest common factor 2700 and 2704 is 4.
Also check out the Least Common Multiple of 2700 and 2704
(i) The GCF of 2700 and 2704 is associative
GCF of 2700 and 2704 = GCF of 2704 and 2700
1. What is the GCF of 2700 and 2704?
Answer: GCF of 2700 and 2704 is 4.
2. What are the Factors of 2700?
Answer: Factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700. There are 36 integers that are factors of 2700. The greatest factor of 2700 is 2700.
3. What are the Factors of 2704?
Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.
4. How to Find the GCF of 2700 and 2704?
Answer:
Greatest Common Factor of 2700 and 2704 = 4
Step 1: Find the prime factorization of 2700
2700 = 2 x 2 x 3 x 3 x 3 x 5 x 5
Step 2: Find the prime factorization of 2704
2704 = 2 x 2 x 2 x 2 x 13 x 13
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 2700 and 2704 is 4