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 9738, 9741 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9738 and 9741 is 3.
GCF(9738,9741) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9738
2 | 9738 |
3 | 4869 |
3 | 1623 |
541 | 541 |
1 |
Prime factors of 9738 are 2,3,541. Prime factorization of 9738 in exponential form is:
9738 = 21×32×5411
Prime Factorization of 9741
3 | 9741 |
17 | 3247 |
191 | 191 |
1 |
Prime factors of 9741 are 3,17,191. Prime factorization of 9741 in exponential form is:
9741 = 31×171×1911
∴ So by taking common prime factors GCF of 9738 and 9741 is 3
Factors of 9738
List of positive integer factors of 9738 that divides 9738 without a remainder.
1,2,3,6,9,18,541,1082,1623,3246,4869,9738
Factors of 9741
List of positive integer factors of 9741 that divides 9741 without a remainder.
1,3,17,51,191,573,3247,9741
Greatest Common Factor
We found the factors and prime factorization of 9738 and 9741. The biggest common factor number is the GCF number.
So the greatest common factor 9738 and 9741 is 3.
Also check out the Least Common Multiple of 9738 and 9741
(i) The GCF of 9738 and 9741 is associative
GCF of 9738 and 9741 = GCF of 9741 and 9738
1. What is the GCF of 9738 and 9741?
Answer: GCF of 9738 and 9741 is 3.
2. What are the Factors of 9738?
Answer: Factors of 9738 are 1, 2, 3, 6, 9, 18, 541, 1082, 1623, 3246, 4869, 9738. There are 12 integers that are factors of 9738. The greatest factor of 9738 is 9738.
3. What are the Factors of 9741?
Answer: Factors of 9741 are 1, 3, 17, 51, 191, 573, 3247, 9741. There are 8 integers that are factors of 9741. The greatest factor of 9741 is 9741.
4. How to Find the GCF of 9738 and 9741?
Answer:
Greatest Common Factor of 9738 and 9741 = 3
Step 1: Find the prime factorization of 9738
9738 = 2 x 3 x 3 x 541
Step 2: Find the prime factorization of 9741
9741 = 3 x 17 x 191
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 9738 and 9741 is 3