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 724, 729 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 724 and 729 is 1.
GCF(724,729) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 729
3 | 729 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:
729 = 36
∴ So by taking common prime factors GCF of 724 and 729 is 1
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Greatest Common Factor
We found the factors and prime factorization of 724 and 729. The biggest common factor number is the GCF number.
So the greatest common factor 724 and 729 is 1.
Also check out the Least Common Multiple of 724 and 729
(i) The GCF of 724 and 729 is associative
GCF of 724 and 729 = GCF of 729 and 724
1. What is the GCF of 724 and 729?
Answer: GCF of 724 and 729 is 1.
2. 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.
3. What are the Factors of 729?
Answer: Factors of 729 are 1, 3, 9, 27, 81, 243, 729. There are 7 integers that are factors of 729. The greatest factor of 729 is 729.
4. How to Find the GCF of 724 and 729?
Answer:
Greatest Common Factor of 724 and 729 = 1
Step 1: Find the prime factorization of 724
724 = 2 x 2 x 181
Step 2: Find the prime factorization of 729
729 = 3 x 3 x 3 x 3 x 3 x 3
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 724 and 729 is 1