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 1697, 1700 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1697 and 1700 is 1.
GCF(1697,1700) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1697
1697 | 1697 |
1 |
Prime factors of 1697 are 1697. Prime factorization of 1697 in exponential form is:
1697 = 16971
Prime Factorization of 1700
2 | 1700 |
2 | 850 |
5 | 425 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 1700 are 2.Prime factorization of 1700 in exponential form is:
1700 = 22×52×171
∴ So by taking common prime factors GCF of 1697 and 1700 is 1
Factors of 1697
List of positive integer factors of 1697 that divides 1697 without a remainder.
1,1697
Factors of 1700
List of positive integer factors of 1700 that divides 1700 without a remainder.
1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700
Greatest Common Factor
We found the factors and prime factorization of 1697 and 1700. The biggest common factor number is the GCF number.
So the greatest common factor 1697 and 1700 is 1.
Also check out the Least Common Multiple of 1697 and 1700
(i) The GCF of 1697 and 1700 is associative
GCF of 1697 and 1700 = GCF of 1700 and 1697
1. What is the GCF of 1697 and 1700?
Answer: GCF of 1697 and 1700 is 1.
2. What are the Factors of 1697?
Answer: Factors of 1697 are 1, 1697. There are 2 integers that are factors of 1697. The greatest factor of 1697 is 1697.
3. What are the Factors of 1700?
Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.
4. How to Find the GCF of 1697 and 1700?
Answer:
Greatest Common Factor of 1697 and 1700 = 1
Step 1: Find the prime factorization of 1697
1697 = 1697
Step 2: Find the prime factorization of 1700
1700 = 2 x 2 x 5 x 5 x 17
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 1697 and 1700 is 1