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 9159, 9167 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9159 and 9167 is 1.
GCF(9159,9167) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9159
3 | 9159 |
43 | 3053 |
71 | 71 |
1 |
Prime factors of 9159 are 3,43,71. Prime factorization of 9159 in exponential form is:
9159 = 31×431×711
Prime Factorization of 9167
89 | 9167 |
103 | 103 |
1 |
Prime factors of 9167 are 89,103. Prime factorization of 9167 in exponential form is:
9167 = 891×1031
∴ So by taking common prime factors GCF of 9159 and 9167 is 1
Factors of 9159
List of positive integer factors of 9159 that divides 9159 without a remainder.
1,3,43,71,129,213,3053,9159
Factors of 9167
List of positive integer factors of 9167 that divides 9167 without a remainder.
1,89,103,9167
Greatest Common Factor
We found the factors and prime factorization of 9159 and 9167. The biggest common factor number is the GCF number.
So the greatest common factor 9159 and 9167 is 1.
Also check out the Least Common Multiple of 9159 and 9167
(i) The GCF of 9159 and 9167 is associative
GCF of 9159 and 9167 = GCF of 9167 and 9159
1. What is the GCF of 9159 and 9167?
Answer: GCF of 9159 and 9167 is 1.
2. What are the Factors of 9159?
Answer: Factors of 9159 are 1, 3, 43, 71, 129, 213, 3053, 9159. There are 8 integers that are factors of 9159. The greatest factor of 9159 is 9159.
3. What are the Factors of 9167?
Answer: Factors of 9167 are 1, 89, 103, 9167. There are 4 integers that are factors of 9167. The greatest factor of 9167 is 9167.
4. How to Find the GCF of 9159 and 9167?
Answer:
Greatest Common Factor of 9159 and 9167 = 1
Step 1: Find the prime factorization of 9159
9159 = 3 x 43 x 71
Step 2: Find the prime factorization of 9167
9167 = 89 x 103
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 9159 and 9167 is 1