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 5702, 5706 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5702 and 5706 is 2.
GCF(5702,5706) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5702
2 | 5702 |
2851 | 2851 |
1 |
Prime factors of 5702 are 2,2851. Prime factorization of 5702 in exponential form is:
5702 = 21×28511
Prime Factorization of 5706
2 | 5706 |
3 | 2853 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 5706 are 2,3,317. Prime factorization of 5706 in exponential form is:
5706 = 21×32×3171
∴ So by taking common prime factors GCF of 5702 and 5706 is 2
Factors of 5702
List of positive integer factors of 5702 that divides 5702 without a remainder.
1,2,2851,5702
Factors of 5706
List of positive integer factors of 5706 that divides 5706 without a remainder.
1,2,3,6,9,18,317,634,951,1902,2853,5706
Greatest Common Factor
We found the factors and prime factorization of 5702 and 5706. The biggest common factor number is the GCF number.
So the greatest common factor 5702 and 5706 is 2.
Also check out the Least Common Multiple of 5702 and 5706
(i) The GCF of 5702 and 5706 is associative
GCF of 5702 and 5706 = GCF of 5706 and 5702
1. What is the GCF of 5702 and 5706?
Answer: GCF of 5702 and 5706 is 2.
2. What are the Factors of 5702?
Answer: Factors of 5702 are 1, 2, 2851, 5702. There are 4 integers that are factors of 5702. The greatest factor of 5702 is 5702.
3. What are the Factors of 5706?
Answer: Factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706. There are 12 integers that are factors of 5706. The greatest factor of 5706 is 5706.
4. How to Find the GCF of 5702 and 5706?
Answer:
Greatest Common Factor of 5702 and 5706 = 2
Step 1: Find the prime factorization of 5702
5702 = 2 x 2851
Step 2: Find the prime factorization of 5706
5706 = 2 x 3 x 3 x 317
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 5702 and 5706 is 2