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 9163, 9171 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9163 and 9171 is 1.
GCF(9163,9171) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9163
7 | 9163 |
7 | 1309 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 9163 are 7,11,17. Prime factorization of 9163 in exponential form is:
9163 = 72×111×171
Prime Factorization of 9171
3 | 9171 |
3 | 3057 |
1019 | 1019 |
1 |
Prime factors of 9171 are 3,1019. Prime factorization of 9171 in exponential form is:
9171 = 32×10191
∴ So by taking common prime factors GCF of 9163 and 9171 is 1
Factors of 9163
List of positive integer factors of 9163 that divides 9163 without a remainder.
1,7,11,17,49,77,119,187,539,833,1309,9163
Factors of 9171
List of positive integer factors of 9171 that divides 9171 without a remainder.
1,3,9,1019,3057,9171
Greatest Common Factor
We found the factors and prime factorization of 9163 and 9171. The biggest common factor number is the GCF number.
So the greatest common factor 9163 and 9171 is 1.
Also check out the Least Common Multiple of 9163 and 9171
(i) The GCF of 9163 and 9171 is associative
GCF of 9163 and 9171 = GCF of 9171 and 9163
1. What is the GCF of 9163 and 9171?
Answer: GCF of 9163 and 9171 is 1.
2. What are the Factors of 9163?
Answer: Factors of 9163 are 1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309, 9163. There are 12 integers that are factors of 9163. The greatest factor of 9163 is 9163.
3. What are the Factors of 9171?
Answer: Factors of 9171 are 1, 3, 9, 1019, 3057, 9171. There are 6 integers that are factors of 9171. The greatest factor of 9171 is 9171.
4. How to Find the GCF of 9163 and 9171?
Answer:
Greatest Common Factor of 9163 and 9171 = 1
Step 1: Find the prime factorization of 9163
9163 = 7 x 7 x 11 x 17
Step 2: Find the prime factorization of 9171
9171 = 3 x 3 x 1019
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 9163 and 9171 is 1