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 726, 731 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 726 and 731 is 1.
GCF(726,731) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 726
2 | 726 |
3 | 363 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 726 are 2,3,11. Prime factorization of 726 in exponential form is:
726 = 21×31×112
Prime Factorization of 731
17 | 731 |
43 | 43 |
1 |
Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:
731 = 171×431
∴ So by taking common prime factors GCF of 726 and 731 is 1
Factors of 726
List of positive integer factors of 726 that divides 726 without a remainder.
1,2,3,6,11,22,33,66,121,242,363,726
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Greatest Common Factor
We found the factors and prime factorization of 726 and 731. The biggest common factor number is the GCF number.
So the greatest common factor 726 and 731 is 1.
Also check out the Least Common Multiple of 726 and 731
(i) The GCF of 726 and 731 is associative
GCF of 726 and 731 = GCF of 731 and 726
1. What is the GCF of 726 and 731?
Answer: GCF of 726 and 731 is 1.
2. What are the Factors of 726?
Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.
3. What are the Factors of 731?
Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.
4. How to Find the GCF of 726 and 731?
Answer:
Greatest Common Factor of 726 and 731 = 1
Step 1: Find the prime factorization of 726
726 = 2 x 3 x 11 x 11
Step 2: Find the prime factorization of 731
731 = 17 x 43
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 726 and 731 is 1