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 1182, 1189 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1182 and 1189 is 1.
GCF(1182,1189) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1182
2 | 1182 |
3 | 591 |
197 | 197 |
1 |
Prime factors of 1182 are 2,3,197. Prime factorization of 1182 in exponential form is:
1182 = 21×31×1971
Prime Factorization of 1189
29 | 1189 |
41 | 41 |
1 |
Prime factors of 1189 are 29,41. Prime factorization of 1189 in exponential form is:
1189 = 291×411
∴ So by taking common prime factors GCF of 1182 and 1189 is 1
Factors of 1182
List of positive integer factors of 1182 that divides 1182 without a remainder.
1,2,3,6,197,394,591,1182
Factors of 1189
List of positive integer factors of 1189 that divides 1189 without a remainder.
1,29,41,1189
Greatest Common Factor
We found the factors and prime factorization of 1182 and 1189. The biggest common factor number is the GCF number.
So the greatest common factor 1182 and 1189 is 1.
Also check out the Least Common Multiple of 1182 and 1189
(i) The GCF of 1182 and 1189 is associative
GCF of 1182 and 1189 = GCF of 1189 and 1182
1. What is the GCF of 1182 and 1189?
Answer: GCF of 1182 and 1189 is 1.
2. What are the Factors of 1182?
Answer: Factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182. There are 8 integers that are factors of 1182. The greatest factor of 1182 is 1182.
3. What are the Factors of 1189?
Answer: Factors of 1189 are 1, 29, 41, 1189. There are 4 integers that are factors of 1189. The greatest factor of 1189 is 1189.
4. How to Find the GCF of 1182 and 1189?
Answer:
Greatest Common Factor of 1182 and 1189 = 1
Step 1: Find the prime factorization of 1182
1182 = 2 x 3 x 197
Step 2: Find the prime factorization of 1189
1189 = 29 x 41
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 1182 and 1189 is 1