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 1187, 1190 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1187 and 1190 is 1.
GCF(1187,1190) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1187
1187 | 1187 |
1 |
Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:
1187 = 11871
Prime Factorization of 1190
2 | 1190 |
5 | 595 |
7 | 119 |
17 | 17 |
1 |
Prime factors of 1190 are 2.Prime factorization of 1190 in exponential form is:
1190 = 21×51×71×171
∴ So by taking common prime factors GCF of 1187 and 1190 is 1
Factors of 1187
List of positive integer factors of 1187 that divides 1187 without a remainder.
1,1187
Factors of 1190
List of positive integer factors of 1190 that divides 1190 without a remainder.
1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190
Greatest Common Factor
We found the factors and prime factorization of 1187 and 1190. The biggest common factor number is the GCF number.
So the greatest common factor 1187 and 1190 is 1.
Also check out the Least Common Multiple of 1187 and 1190
(i) The GCF of 1187 and 1190 is associative
GCF of 1187 and 1190 = GCF of 1190 and 1187
1. What is the GCF of 1187 and 1190?
Answer: GCF of 1187 and 1190 is 1.
2. What are the Factors of 1187?
Answer: Factors of 1187 are 1, 1187. There are 2 integers that are factors of 1187. The greatest factor of 1187 is 1187.
3. What are the Factors of 1190?
Answer: Factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190. There are 16 integers that are factors of 1190. The greatest factor of 1190 is 1190.
4. How to Find the GCF of 1187 and 1190?
Answer:
Greatest Common Factor of 1187 and 1190 = 1
Step 1: Find the prime factorization of 1187
1187 = 1187
Step 2: Find the prime factorization of 1190
1190 = 2 x 5 x 7 x 17
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 1187 and 1190 is 1