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 9162, 9169 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9162 and 9169 is 1.
GCF(9162,9169) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9162
2 | 9162 |
3 | 4581 |
3 | 1527 |
509 | 509 |
1 |
Prime factors of 9162 are 2,3,509. Prime factorization of 9162 in exponential form is:
9162 = 21×32×5091
Prime Factorization of 9169
53 | 9169 |
173 | 173 |
1 |
Prime factors of 9169 are 53,173. Prime factorization of 9169 in exponential form is:
9169 = 531×1731
∴ So by taking common prime factors GCF of 9162 and 9169 is 1
Factors of 9162
List of positive integer factors of 9162 that divides 9162 without a remainder.
1,2,3,6,9,18,509,1018,1527,3054,4581,9162
Factors of 9169
List of positive integer factors of 9169 that divides 9169 without a remainder.
1,53,173,9169
Greatest Common Factor
We found the factors and prime factorization of 9162 and 9169. The biggest common factor number is the GCF number.
So the greatest common factor 9162 and 9169 is 1.
Also check out the Least Common Multiple of 9162 and 9169
(i) The GCF of 9162 and 9169 is associative
GCF of 9162 and 9169 = GCF of 9169 and 9162
1. What is the GCF of 9162 and 9169?
Answer: GCF of 9162 and 9169 is 1.
2. What are the Factors of 9162?
Answer: Factors of 9162 are 1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581, 9162. There are 12 integers that are factors of 9162. The greatest factor of 9162 is 9162.
3. What are the Factors of 9169?
Answer: Factors of 9169 are 1, 53, 173, 9169. There are 4 integers that are factors of 9169. The greatest factor of 9169 is 9169.
4. How to Find the GCF of 9162 and 9169?
Answer:
Greatest Common Factor of 9162 and 9169 = 1
Step 1: Find the prime factorization of 9162
9162 = 2 x 3 x 3 x 509
Step 2: Find the prime factorization of 9169
9169 = 53 x 173
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 9162 and 9169 is 1