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 1175, 1179 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1175 and 1179 is 1.
GCF(1175,1179) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1175
5 | 1175 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 1175 are 5,47. Prime factorization of 1175 in exponential form is:
1175 = 52×471
Prime Factorization of 1179
3 | 1179 |
3 | 393 |
131 | 131 |
1 |
Prime factors of 1179 are 3,131. Prime factorization of 1179 in exponential form is:
1179 = 32×1311
∴ So by taking common prime factors GCF of 1175 and 1179 is 1
Factors of 1175
List of positive integer factors of 1175 that divides 1175 without a remainder.
1,5,25,47,235,1175
Factors of 1179
List of positive integer factors of 1179 that divides 1179 without a remainder.
1,3,9,131,393,1179
Greatest Common Factor
We found the factors and prime factorization of 1175 and 1179. The biggest common factor number is the GCF number.
So the greatest common factor 1175 and 1179 is 1.
Also check out the Least Common Multiple of 1175 and 1179
(i) The GCF of 1175 and 1179 is associative
GCF of 1175 and 1179 = GCF of 1179 and 1175
1. What is the GCF of 1175 and 1179?
Answer: GCF of 1175 and 1179 is 1.
2. What are the Factors of 1175?
Answer: Factors of 1175 are 1, 5, 25, 47, 235, 1175. There are 6 integers that are factors of 1175. The greatest factor of 1175 is 1175.
3. What are the Factors of 1179?
Answer: Factors of 1179 are 1, 3, 9, 131, 393, 1179. There are 6 integers that are factors of 1179. The greatest factor of 1179 is 1179.
4. How to Find the GCF of 1175 and 1179?
Answer:
Greatest Common Factor of 1175 and 1179 = 1
Step 1: Find the prime factorization of 1175
1175 = 5 x 5 x 47
Step 2: Find the prime factorization of 1179
1179 = 3 x 3 x 131
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 1175 and 1179 is 1