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 1170, 1171 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1170 and 1171 is 1.
GCF(1170,1171) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1170
2 | 1170 |
3 | 585 |
3 | 195 |
5 | 65 |
13 | 13 |
1 |
Prime factors of 1170 are 2,3,5,13. Prime factorization of 1170 in exponential form is:
1170 = 21×32×51×131
Prime Factorization of 1171
1171 | 1171 |
1 |
Prime factors of 1171 are 1171. Prime factorization of 1171 in exponential form is:
1171 = 11711
∴ So by taking common prime factors GCF of 1170 and 1171 is 1
Factors of 1170
List of positive integer factors of 1170 that divides 1170 without a remainder.
1,2,3,5,6,9,10,13,15,18,26,30,39,45,65,78,90,117,130,195,234,390,585,1170
Factors of 1171
List of positive integer factors of 1171 that divides 1171 without a remainder.
1,1171
Greatest Common Factor
We found the factors and prime factorization of 1170 and 1171. The biggest common factor number is the GCF number.
So the greatest common factor 1170 and 1171 is 1.
Also check out the Least Common Multiple of 1170 and 1171
(i) The GCF of 1170 and 1171 is associative
GCF of 1170 and 1171 = GCF of 1171 and 1170
1. What is the GCF of 1170 and 1171?
Answer: GCF of 1170 and 1171 is 1.
2. What are the Factors of 1170?
Answer: Factors of 1170 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170. There are 24 integers that are factors of 1170. The greatest factor of 1170 is 1170.
3. What are the Factors of 1171?
Answer: Factors of 1171 are 1, 1171. There are 2 integers that are factors of 1171. The greatest factor of 1171 is 1171.
4. How to Find the GCF of 1170 and 1171?
Answer:
Greatest Common Factor of 1170 and 1171 = 1
Step 1: Find the prime factorization of 1170
1170 = 2 x 3 x 3 x 5 x 13
Step 2: Find the prime factorization of 1171
1171 = 1171
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 1170 and 1171 is 1