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 1179, 1185 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1179 and 1185 is 3.
GCF(1179,1185) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1185
3 | 1185 |
5 | 395 |
79 | 79 |
1 |
Prime factors of 1185 are 3,5,79. Prime factorization of 1185 in exponential form is:
1185 = 31×51×791
∴ So by taking common prime factors GCF of 1179 and 1185 is 3
Factors of 1179
List of positive integer factors of 1179 that divides 1179 without a remainder.
1,3,9,131,393,1179
Factors of 1185
List of positive integer factors of 1185 that divides 1185 without a remainder.
1,3,5,15,79,237,395,1185
Greatest Common Factor
We found the factors and prime factorization of 1179 and 1185. The biggest common factor number is the GCF number.
So the greatest common factor 1179 and 1185 is 3.
Also check out the Least Common Multiple of 1179 and 1185
(i) The GCF of 1179 and 1185 is associative
GCF of 1179 and 1185 = GCF of 1185 and 1179
1. What is the GCF of 1179 and 1185?
Answer: GCF of 1179 and 1185 is 3.
2. 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.
3. What are the Factors of 1185?
Answer: Factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185. There are 8 integers that are factors of 1185. The greatest factor of 1185 is 1185.
4. How to Find the GCF of 1179 and 1185?
Answer:
Greatest Common Factor of 1179 and 1185 = 3
Step 1: Find the prime factorization of 1179
1179 = 3 x 3 x 131
Step 2: Find the prime factorization of 1185
1185 = 3 x 5 x 79
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 1179 and 1185 is 3