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 1178, 1179 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1178 and 1179 is 1.
GCF(1178,1179) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1178
2 | 1178 |
19 | 589 |
31 | 31 |
1 |
Prime factors of 1178 are 2,19,31. Prime factorization of 1178 in exponential form is:
1178 = 21×191×311
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 1178 and 1179 is 1
Factors of 1178
List of positive integer factors of 1178 that divides 1178 without a remainder.
1,2,19,31,38,62,589,1178
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 1178 and 1179. The biggest common factor number is the GCF number.
So the greatest common factor 1178 and 1179 is 1.
Also check out the Least Common Multiple of 1178 and 1179
(i) The GCF of 1178 and 1179 is associative
GCF of 1178 and 1179 = GCF of 1179 and 1178
1. What is the GCF of 1178 and 1179?
Answer: GCF of 1178 and 1179 is 1.
2. What are the Factors of 1178?
Answer: Factors of 1178 are 1, 2, 19, 31, 38, 62, 589, 1178. There are 8 integers that are factors of 1178. The greatest factor of 1178 is 1178.
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 1178 and 1179?
Answer:
Greatest Common Factor of 1178 and 1179 = 1
Step 1: Find the prime factorization of 1178
1178 = 2 x 19 x 31
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 1178 and 1179 is 1