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 5698, 5703 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5698 and 5703 is 1.
GCF(5698,5703) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5698
2 | 5698 |
7 | 2849 |
11 | 407 |
37 | 37 |
1 |
Prime factors of 5698 are 2,7,11,37. Prime factorization of 5698 in exponential form is:
5698 = 21×71×111×371
Prime Factorization of 5703
3 | 5703 |
1901 | 1901 |
1 |
Prime factors of 5703 are 3,1901. Prime factorization of 5703 in exponential form is:
5703 = 31×19011
∴ So by taking common prime factors GCF of 5698 and 5703 is 1
Factors of 5698
List of positive integer factors of 5698 that divides 5698 without a remainder.
1,2,7,11,14,22,37,74,77,154,259,407,518,814,2849,5698
Factors of 5703
List of positive integer factors of 5703 that divides 5703 without a remainder.
1,3,1901,5703
Greatest Common Factor
We found the factors and prime factorization of 5698 and 5703. The biggest common factor number is the GCF number.
So the greatest common factor 5698 and 5703 is 1.
Also check out the Least Common Multiple of 5698 and 5703
(i) The GCF of 5698 and 5703 is associative
GCF of 5698 and 5703 = GCF of 5703 and 5698
1. What is the GCF of 5698 and 5703?
Answer: GCF of 5698 and 5703 is 1.
2. What are the Factors of 5698?
Answer: Factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698. There are 16 integers that are factors of 5698. The greatest factor of 5698 is 5698.
3. What are the Factors of 5703?
Answer: Factors of 5703 are 1, 3, 1901, 5703. There are 4 integers that are factors of 5703. The greatest factor of 5703 is 5703.
4. How to Find the GCF of 5698 and 5703?
Answer:
Greatest Common Factor of 5698 and 5703 = 1
Step 1: Find the prime factorization of 5698
5698 = 2 x 7 x 11 x 37
Step 2: Find the prime factorization of 5703
5703 = 3 x 1901
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 5698 and 5703 is 1