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 9731, 9734 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9731 and 9734 is 1.
GCF(9731,9734) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9731
37 | 9731 |
263 | 263 |
1 |
Prime factors of 9731 are 37,263. Prime factorization of 9731 in exponential form is:
9731 = 371×2631
Prime Factorization of 9734
2 | 9734 |
31 | 4867 |
157 | 157 |
1 |
Prime factors of 9734 are 2,31,157. Prime factorization of 9734 in exponential form is:
9734 = 21×311×1571
∴ So by taking common prime factors GCF of 9731 and 9734 is 1
Factors of 9731
List of positive integer factors of 9731 that divides 9731 without a remainder.
1,37,263,9731
Factors of 9734
List of positive integer factors of 9734 that divides 9734 without a remainder.
1,2,31,62,157,314,4867,9734
Greatest Common Factor
We found the factors and prime factorization of 9731 and 9734. The biggest common factor number is the GCF number.
So the greatest common factor 9731 and 9734 is 1.
Also check out the Least Common Multiple of 9731 and 9734
(i) The GCF of 9731 and 9734 is associative
GCF of 9731 and 9734 = GCF of 9734 and 9731
1. What is the GCF of 9731 and 9734?
Answer: GCF of 9731 and 9734 is 1.
2. What are the Factors of 9731?
Answer: Factors of 9731 are 1, 37, 263, 9731. There are 4 integers that are factors of 9731. The greatest factor of 9731 is 9731.
3. What are the Factors of 9734?
Answer: Factors of 9734 are 1, 2, 31, 62, 157, 314, 4867, 9734. There are 8 integers that are factors of 9734. The greatest factor of 9734 is 9734.
4. How to Find the GCF of 9731 and 9734?
Answer:
Greatest Common Factor of 9731 and 9734 = 1
Step 1: Find the prime factorization of 9731
9731 = 37 x 263
Step 2: Find the prime factorization of 9734
9734 = 2 x 31 x 157
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 9731 and 9734 is 1