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 729, 733 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 729 and 733 is 1.
GCF(729,733) = 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 733
733 | 733 |
1 |
Prime factors of 733 are 733.Prime factorization of 733 in exponential form is:
733 = 7331
∴ So by taking common prime factors GCF of 729 and 733 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 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors and prime factorization of 729 and 733. The biggest common factor number is the GCF number.
So the greatest common factor 729 and 733 is 1.
Also check out the Least Common Multiple of 729 and 733
(i) The GCF of 729 and 733 is associative
GCF of 729 and 733 = GCF of 733 and 729
1. What is the GCF of 729 and 733?
Answer: GCF of 729 and 733 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 733?
Answer: Factors of 733 are 1, 733. There are 2 integers that are factors of 733. The greatest factor of 733 is 733.
4. How to Find the GCF of 729 and 733?
Answer:
Greatest Common Factor of 729 and 733 = 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 733
733 = 733
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 733 is 1