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 717, 724 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 717 and 724 is 1.
GCF(717,724) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 717
3 | 717 |
239 | 239 |
1 |
Prime factors of 717 are 3,239. Prime factorization of 717 in exponential form is:
717 = 31×2391
Prime Factorization of 724
2 | 724 |
2 | 362 |
181 | 181 |
1 |
Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:
724 = 22×1811
∴ So by taking common prime factors GCF of 717 and 724 is 1
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors and prime factorization of 717 and 724. The biggest common factor number is the GCF number.
So the greatest common factor 717 and 724 is 1.
Also check out the Least Common Multiple of 717 and 724
(i) The GCF of 717 and 724 is associative
GCF of 717 and 724 = GCF of 724 and 717
1. What is the GCF of 717 and 724?
Answer: GCF of 717 and 724 is 1.
2. What are the Factors of 717?
Answer: Factors of 717 are 1, 3, 239, 717. There are 4 integers that are factors of 717. The greatest factor of 717 is 717.
3. What are the Factors of 724?
Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.
4. How to Find the GCF of 717 and 724?
Answer:
Greatest Common Factor of 717 and 724 = 1
Step 1: Find the prime factorization of 717
717 = 3 x 239
Step 2: Find the prime factorization of 724
724 = 2 x 2 x 181
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 717 and 724 is 1