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 728, 733 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 728 and 733 is 1.
GCF(728,733) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 728
2 | 728 |
2 | 364 |
2 | 182 |
7 | 91 |
13 | 13 |
1 |
Prime factors of 728 are 2,7,13. Prime factorization of 728 in exponential form is:
728 = 23×71×131
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 728 and 733 is 1
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
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 728 and 733. The biggest common factor number is the GCF number.
So the greatest common factor 728 and 733 is 1.
Also check out the Least Common Multiple of 728 and 733
(i) The GCF of 728 and 733 is associative
GCF of 728 and 733 = GCF of 733 and 728
1. What is the GCF of 728 and 733?
Answer: GCF of 728 and 733 is 1.
2. What are the Factors of 728?
Answer: Factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728. There are 16 integers that are factors of 728. The greatest factor of 728 is 728.
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 728 and 733?
Answer:
Greatest Common Factor of 728 and 733 = 1
Step 1: Find the prime factorization of 728
728 = 2 x 2 x 2 x 7 x 13
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 728 and 733 is 1