Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 729, 734 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 729 and 734 is 1.
GCF(729,734) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 734
| 2 | 734 |
| 367 | 367 |
| 1 |
Prime factors of 734 are 2.Prime factorization of 734 in exponential form is:
734 = 21×3671
∴ So by taking common prime factors GCF of 729 and 734 is 1
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Greatest Common Factor
We found the factors and prime factorization of 729 and 734. The biggest common factor number is the GCF number.
So the greatest common factor 729 and 734 is 1.
Also check out the Least Common Multiple of 729 and 734
(i) The GCF of 729 and 734 is associative
GCF of 729 and 734 = GCF of 734 and 729
1. What is the GCF of 729 and 734?
Answer: GCF of 729 and 734 is 1.
2. 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.
3. What are the Factors of 734?
Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.
4. How to Find the GCF of 729 and 734?
Answer:
Greatest Common Factor of 729 and 734 = 1
Step 1: Find the prime factorization of 729
729 = 3 x 3 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 734
734 = 2 x 367
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 729 and 734 is 1
