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 8211, 8218 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8211 and 8218 is 7.
GCF(8211,8218) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8211
3 | 8211 |
7 | 2737 |
17 | 391 |
23 | 23 |
1 |
Prime factors of 8211 are 3,7,17,23. Prime factorization of 8211 in exponential form is:
8211 = 31×71×171×231
Prime Factorization of 8218
2 | 8218 |
7 | 4109 |
587 | 587 |
1 |
Prime factors of 8218 are 2,7,587. Prime factorization of 8218 in exponential form is:
8218 = 21×71×5871
∴ So by taking common prime factors GCF of 8211 and 8218 is 7
Factors of 8211
List of positive integer factors of 8211 that divides 8211 without a remainder.
1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Factors of 8218
List of positive integer factors of 8218 that divides 8218 without a remainder.
1,2,7,14,587,1174,4109,8218
Greatest Common Factor
We found the factors and prime factorization of 8211 and 8218. The biggest common factor number is the GCF number.
So the greatest common factor 8211 and 8218 is 7.
Also check out the Least Common Multiple of 8211 and 8218
(i) The GCF of 8211 and 8218 is associative
GCF of 8211 and 8218 = GCF of 8218 and 8211
1. What is the GCF of 8211 and 8218?
Answer: GCF of 8211 and 8218 is 7.
2. What are the Factors of 8211?
Answer: Factors of 8211 are 1, 3, 7, 17, 21, 23, 51, 69, 119, 161, 357, 391, 483, 1173, 2737, 8211. There are 16 integers that are factors of 8211. The greatest factor of 8211 is 8211.
3. What are the Factors of 8218?
Answer: Factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218. There are 8 integers that are factors of 8218. The greatest factor of 8218 is 8218.
4. How to Find the GCF of 8211 and 8218?
Answer:
Greatest Common Factor of 8211 and 8218 = 7
Step 1: Find the prime factorization of 8211
8211 = 3 x 7 x 17 x 23
Step 2: Find the prime factorization of 8218
8218 = 2 x 7 x 587
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 8211 and 8218 is 7