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 1699, 1704 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1699 and 1704 is 1.
GCF(1699,1704) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1699
1699 | 1699 |
1 |
Prime factors of 1699 are 1699. Prime factorization of 1699 in exponential form is:
1699 = 16991
Prime Factorization of 1704
2 | 1704 |
2 | 852 |
2 | 426 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 1704 are 2.Prime factorization of 1704 in exponential form is:
1704 = 23×31×711
∴ So by taking common prime factors GCF of 1699 and 1704 is 1
Factors of 1699
List of positive integer factors of 1699 that divides 1699 without a remainder.
1,1699
Factors of 1704
List of positive integer factors of 1704 that divides 1704 without a remainder.
1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704
Greatest Common Factor
We found the factors and prime factorization of 1699 and 1704. The biggest common factor number is the GCF number.
So the greatest common factor 1699 and 1704 is 1.
Also check out the Least Common Multiple of 1699 and 1704
(i) The GCF of 1699 and 1704 is associative
GCF of 1699 and 1704 = GCF of 1704 and 1699
1. What is the GCF of 1699 and 1704?
Answer: GCF of 1699 and 1704 is 1.
2. What are the Factors of 1699?
Answer: Factors of 1699 are 1, 1699. There are 2 integers that are factors of 1699. The greatest factor of 1699 is 1699.
3. What are the Factors of 1704?
Answer: Factors of 1704 are 1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704. There are 16 integers that are factors of 1704. The greatest factor of 1704 is 1704.
4. How to Find the GCF of 1699 and 1704?
Answer:
Greatest Common Factor of 1699 and 1704 = 1
Step 1: Find the prime factorization of 1699
1699 = 1699
Step 2: Find the prime factorization of 1704
1704 = 2 x 2 x 2 x 3 x 71
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 1699 and 1704 is 1