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 9761, 9765 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9761 and 9765 is 1.
GCF(9761,9765) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9761
43 | 9761 |
227 | 227 |
1 |
Prime factors of 9761 are 43,227. Prime factorization of 9761 in exponential form is:
9761 = 431×2271
Prime Factorization of 9765
3 | 9765 |
3 | 3255 |
5 | 1085 |
7 | 217 |
31 | 31 |
1 |
Prime factors of 9765 are 3,5,7,31. Prime factorization of 9765 in exponential form is:
9765 = 32×51×71×311
∴ So by taking common prime factors GCF of 9761 and 9765 is 1
Factors of 9761
List of positive integer factors of 9761 that divides 9761 without a remainder.
1,43,227,9761
Factors of 9765
List of positive integer factors of 9765 that divides 9765 without a remainder.
1,3,5,7,9,15,21,31,35,45,63,93,105,155,217,279,315,465,651,1085,1395,1953,3255,9765
Greatest Common Factor
We found the factors and prime factorization of 9761 and 9765. The biggest common factor number is the GCF number.
So the greatest common factor 9761 and 9765 is 1.
Also check out the Least Common Multiple of 9761 and 9765
(i) The GCF of 9761 and 9765 is associative
GCF of 9761 and 9765 = GCF of 9765 and 9761
1. What is the GCF of 9761 and 9765?
Answer: GCF of 9761 and 9765 is 1.
2. What are the Factors of 9761?
Answer: Factors of 9761 are 1, 43, 227, 9761. There are 4 integers that are factors of 9761. The greatest factor of 9761 is 9761.
3. What are the Factors of 9765?
Answer: Factors of 9765 are 1, 3, 5, 7, 9, 15, 21, 31, 35, 45, 63, 93, 105, 155, 217, 279, 315, 465, 651, 1085, 1395, 1953, 3255, 9765. There are 24 integers that are factors of 9765. The greatest factor of 9765 is 9765.
4. How to Find the GCF of 9761 and 9765?
Answer:
Greatest Common Factor of 9761 and 9765 = 1
Step 1: Find the prime factorization of 9761
9761 = 43 x 227
Step 2: Find the prime factorization of 9765
9765 = 3 x 3 x 5 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 9761 and 9765 is 1