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 1717, 1724 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1717 and 1724 is 1.
GCF(1717,1724) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1717
17 | 1717 |
101 | 101 |
1 |
Prime factors of 1717 are 17,101. Prime factorization of 1717 in exponential form is:
1717 = 171×1011
Prime Factorization of 1724
2 | 1724 |
2 | 862 |
431 | 431 |
1 |
Prime factors of 1724 are 2,431. Prime factorization of 1724 in exponential form is:
1724 = 22×4311
∴ So by taking common prime factors GCF of 1717 and 1724 is 1
Factors of 1717
List of positive integer factors of 1717 that divides 1717 without a remainder.
1,17,101,1717
Factors of 1724
List of positive integer factors of 1724 that divides 1724 without a remainder.
1,2,4,431,862,1724
Greatest Common Factor
We found the factors and prime factorization of 1717 and 1724. The biggest common factor number is the GCF number.
So the greatest common factor 1717 and 1724 is 1.
Also check out the Least Common Multiple of 1717 and 1724
(i) The GCF of 1717 and 1724 is associative
GCF of 1717 and 1724 = GCF of 1724 and 1717
1. What is the GCF of 1717 and 1724?
Answer: GCF of 1717 and 1724 is 1.
2. What are the Factors of 1717?
Answer: Factors of 1717 are 1, 17, 101, 1717. There are 4 integers that are factors of 1717. The greatest factor of 1717 is 1717.
3. What are the Factors of 1724?
Answer: Factors of 1724 are 1, 2, 4, 431, 862, 1724. There are 6 integers that are factors of 1724. The greatest factor of 1724 is 1724.
4. How to Find the GCF of 1717 and 1724?
Answer:
Greatest Common Factor of 1717 and 1724 = 1
Step 1: Find the prime factorization of 1717
1717 = 17 x 101
Step 2: Find the prime factorization of 1724
1724 = 2 x 2 x 431
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 1717 and 1724 is 1