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 2704, 2710 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2704 and 2710 is 2.
GCF(2704,2710) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2710
2 | 2710 |
5 | 1355 |
271 | 271 |
1 |
Prime factors of 2710 are 2,5,271. Prime factorization of 2710 in exponential form is:
2710 = 21×51×2711
∴ So by taking common prime factors GCF of 2704 and 2710 is 2
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
Factors of 2710
List of positive integer factors of 2710 that divides 2710 without a remainder.
1,2,5,10,271,542,1355,2710
Greatest Common Factor
We found the factors and prime factorization of 2704 and 2710. The biggest common factor number is the GCF number.
So the greatest common factor 2704 and 2710 is 2.
Also check out the Least Common Multiple of 2704 and 2710
(i) The GCF of 2704 and 2710 is associative
GCF of 2704 and 2710 = GCF of 2710 and 2704
1. What is the GCF of 2704 and 2710?
Answer: GCF of 2704 and 2710 is 2.
2. 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.
3. What are the Factors of 2710?
Answer: Factors of 2710 are 1, 2, 5, 10, 271, 542, 1355, 2710. There are 8 integers that are factors of 2710. The greatest factor of 2710 is 2710.
4. How to Find the GCF of 2704 and 2710?
Answer:
Greatest Common Factor of 2704 and 2710 = 2
Step 1: Find the prime factorization of 2704
2704 = 2 x 2 x 2 x 2 x 13 x 13
Step 2: Find the prime factorization of 2710
2710 = 2 x 5 x 271
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 2704 and 2710 is 2