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 2710, 2717 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2710 and 2717 is 1.
GCF(2710,2717) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2717
11 | 2717 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 2717 are 11,13,19. Prime factorization of 2717 in exponential form is:
2717 = 111×131×191
∴ So by taking common prime factors GCF of 2710 and 2717 is 1
Factors of 2710
List of positive integer factors of 2710 that divides 2710 without a remainder.
1,2,5,10,271,542,1355,2710
Factors of 2717
List of positive integer factors of 2717 that divides 2717 without a remainder.
1,11,13,19,143,209,247,2717
Greatest Common Factor
We found the factors and prime factorization of 2710 and 2717. The biggest common factor number is the GCF number.
So the greatest common factor 2710 and 2717 is 1.
Also check out the Least Common Multiple of 2710 and 2717
(i) The GCF of 2710 and 2717 is associative
GCF of 2710 and 2717 = GCF of 2717 and 2710
1. What is the GCF of 2710 and 2717?
Answer: GCF of 2710 and 2717 is 1.
2. 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.
3. What are the Factors of 2717?
Answer: Factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717. There are 8 integers that are factors of 2717. The greatest factor of 2717 is 2717.
4. How to Find the GCF of 2710 and 2717?
Answer:
Greatest Common Factor of 2710 and 2717 = 1
Step 1: Find the prime factorization of 2710
2710 = 2 x 5 x 271
Step 2: Find the prime factorization of 2717
2717 = 11 x 13 x 19
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 2710 and 2717 is 1