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 16211, 16216 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 16211 and 16216 is 1.
GCF(16211,16216) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 16211
13 | 16211 |
29 | 1247 |
43 | 43 |
1 |
Prime factors of 16211 are 13,29,43. Prime factorization of 16211 in exponential form is:
16211 = 131×291×431
Prime Factorization of 16216
2 | 16216 |
2 | 8108 |
2 | 4054 |
2027 | 2027 |
1 |
Prime factors of 16216 are 2,2027. Prime factorization of 16216 in exponential form is:
16216 = 23×20271
∴ So by taking common prime factors GCF of 16211 and 16216 is 1
Factors of 16211
List of positive integer factors of 16211 that divides 16211 without a remainder.
1,13,29,43,377,559,1247,16211
Factors of 16216
List of positive integer factors of 16216 that divides 16216 without a remainder.
1,2,4,8,2027,4054,8108,16216
Greatest Common Factor
We found the factors and prime factorization of 16211 and 16216. The biggest common factor number is the GCF number.
So the greatest common factor 16211 and 16216 is 1.
Also check out the Least Common Multiple of 16211 and 16216
(i) The GCF of 16211 and 16216 is associative
GCF of 16211 and 16216 = GCF of 16216 and 16211
1. What is the GCF of 16211 and 16216?
Answer: GCF of 16211 and 16216 is 1.
2. What are the Factors of 16211?
Answer: Factors of 16211 are 1, 13, 29, 43, 377, 559, 1247, 16211. There are 8 integers that are factors of 16211. The greatest factor of 16211 is 16211.
3. What are the Factors of 16216?
Answer: Factors of 16216 are 1, 2, 4, 8, 2027, 4054, 8108, 16216. There are 8 integers that are factors of 16216. The greatest factor of 16216 is 16216.
4. How to Find the GCF of 16211 and 16216?
Answer:
Greatest Common Factor of 16211 and 16216 = 1
Step 1: Find the prime factorization of 16211
16211 = 13 x 29 x 43
Step 2: Find the prime factorization of 16216
16216 = 2 x 2 x 2 x 2027
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 16211 and 16216 is 1