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 1211, 1218 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1211 and 1218 is 7.
GCF(1211,1218) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1211
7 | 1211 |
173 | 173 |
1 |
Prime factors of 1211 are 7,173. Prime factorization of 1211 in exponential form is:
1211 = 71×1731
Prime Factorization of 1218
2 | 1218 |
3 | 609 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 1218 are 2,3,7,29. Prime factorization of 1218 in exponential form is:
1218 = 21×31×71×291
∴ So by taking common prime factors GCF of 1211 and 1218 is 7
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1,7,173,1211
Factors of 1218
List of positive integer factors of 1218 that divides 1218 without a remainder.
1,2,3,6,7,14,21,29,42,58,87,174,203,406,609,1218
Greatest Common Factor
We found the factors and prime factorization of 1211 and 1218. The biggest common factor number is the GCF number.
So the greatest common factor 1211 and 1218 is 7.
Also check out the Least Common Multiple of 1211 and 1218
(i) The GCF of 1211 and 1218 is associative
GCF of 1211 and 1218 = GCF of 1218 and 1211
1. What is the GCF of 1211 and 1218?
Answer: GCF of 1211 and 1218 is 7.
2. What are the Factors of 1211?
Answer: Factors of 1211 are 1, 7, 173, 1211. There are 4 integers that are factors of 1211. The greatest factor of 1211 is 1211.
3. What are the Factors of 1218?
Answer: Factors of 1218 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 1218. There are 16 integers that are factors of 1218. The greatest factor of 1218 is 1218.
4. How to Find the GCF of 1211 and 1218?
Answer:
Greatest Common Factor of 1211 and 1218 = 7
Step 1: Find the prime factorization of 1211
1211 = 7 x 173
Step 2: Find the prime factorization of 1218
1218 = 2 x 3 x 7 x 29
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 1211 and 1218 is 7