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 1161, 1169 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1161 and 1169 is 1.
GCF(1161,1169) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1161
3 | 1161 |
3 | 387 |
3 | 129 |
43 | 43 |
1 |
Prime factors of 1161 are 3,43. Prime factorization of 1161 in exponential form is:
1161 = 33×431
Prime Factorization of 1169
7 | 1169 |
167 | 167 |
1 |
Prime factors of 1169 are 7,167. Prime factorization of 1169 in exponential form is:
1169 = 71×1671
∴ So by taking common prime factors GCF of 1161 and 1169 is 1
Factors of 1161
List of positive integer factors of 1161 that divides 1161 without a remainder.
1,3,9,27,43,129,387,1161
Factors of 1169
List of positive integer factors of 1169 that divides 1169 without a remainder.
1,7,167,1169
Greatest Common Factor
We found the factors and prime factorization of 1161 and 1169. The biggest common factor number is the GCF number.
So the greatest common factor 1161 and 1169 is 1.
Also check out the Least Common Multiple of 1161 and 1169
(i) The GCF of 1161 and 1169 is associative
GCF of 1161 and 1169 = GCF of 1169 and 1161
1. What is the GCF of 1161 and 1169?
Answer: GCF of 1161 and 1169 is 1.
2. What are the Factors of 1161?
Answer: Factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161. There are 8 integers that are factors of 1161. The greatest factor of 1161 is 1161.
3. What are the Factors of 1169?
Answer: Factors of 1169 are 1, 7, 167, 1169. There are 4 integers that are factors of 1169. The greatest factor of 1169 is 1169.
4. How to Find the GCF of 1161 and 1169?
Answer:
Greatest Common Factor of 1161 and 1169 = 1
Step 1: Find the prime factorization of 1161
1161 = 3 x 3 x 3 x 43
Step 2: Find the prime factorization of 1169
1169 = 7 x 167
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 1161 and 1169 is 1