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 1731, 1736 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1731 and 1736 is 1.
GCF(1731,1736) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1731
3 | 1731 |
577 | 577 |
1 |
Prime factors of 1731 are 3,577. Prime factorization of 1731 in exponential form is:
1731 = 31×5771
Prime Factorization of 1736
2 | 1736 |
2 | 868 |
2 | 434 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 1736 are 2,7,31. Prime factorization of 1736 in exponential form is:
1736 = 23×71×311
∴ So by taking common prime factors GCF of 1731 and 1736 is 1
Factors of 1731
List of positive integer factors of 1731 that divides 1731 without a remainder.
1,3,577,1731
Factors of 1736
List of positive integer factors of 1736 that divides 1736 without a remainder.
1,2,4,7,8,14,28,31,56,62,124,217,248,434,868,1736
Greatest Common Factor
We found the factors and prime factorization of 1731 and 1736. The biggest common factor number is the GCF number.
So the greatest common factor 1731 and 1736 is 1.
Also check out the Least Common Multiple of 1731 and 1736
(i) The GCF of 1731 and 1736 is associative
GCF of 1731 and 1736 = GCF of 1736 and 1731
1. What is the GCF of 1731 and 1736?
Answer: GCF of 1731 and 1736 is 1.
2. What are the Factors of 1731?
Answer: Factors of 1731 are 1, 3, 577, 1731. There are 4 integers that are factors of 1731. The greatest factor of 1731 is 1731.
3. What are the Factors of 1736?
Answer: Factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736. There are 16 integers that are factors of 1736. The greatest factor of 1736 is 1736.
4. How to Find the GCF of 1731 and 1736?
Answer:
Greatest Common Factor of 1731 and 1736 = 1
Step 1: Find the prime factorization of 1731
1731 = 3 x 577
Step 2: Find the prime factorization of 1736
1736 = 2 x 2 x 2 x 7 x 31
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 1731 and 1736 is 1