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 1169, 1177 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1169 and 1177 is 1.
GCF(1169,1177) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1177
11 | 1177 |
107 | 107 |
1 |
Prime factors of 1177 are 11,107. Prime factorization of 1177 in exponential form is:
1177 = 111×1071
∴ So by taking common prime factors GCF of 1169 and 1177 is 1
Factors of 1169
List of positive integer factors of 1169 that divides 1169 without a remainder.
1,7,167,1169
Factors of 1177
List of positive integer factors of 1177 that divides 1177 without a remainder.
1,11,107,1177
Greatest Common Factor
We found the factors and prime factorization of 1169 and 1177. The biggest common factor number is the GCF number.
So the greatest common factor 1169 and 1177 is 1.
Also check out the Least Common Multiple of 1169 and 1177
(i) The GCF of 1169 and 1177 is associative
GCF of 1169 and 1177 = GCF of 1177 and 1169
1. What is the GCF of 1169 and 1177?
Answer: GCF of 1169 and 1177 is 1.
2. 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.
3. What are the Factors of 1177?
Answer: Factors of 1177 are 1, 11, 107, 1177. There are 4 integers that are factors of 1177. The greatest factor of 1177 is 1177.
4. How to Find the GCF of 1169 and 1177?
Answer:
Greatest Common Factor of 1169 and 1177 = 1
Step 1: Find the prime factorization of 1169
1169 = 7 x 167
Step 2: Find the prime factorization of 1177
1177 = 11 x 107
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 1169 and 1177 is 1