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 208, 211 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 208 and 211 is 1.
GCF(208,211) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 208
2 | 208 |
2 | 104 |
2 | 52 |
2 | 26 |
13 | 13 |
1 |
Prime factors of 208 are 2,13. Prime factorization of 208 in exponential form is:
208 = 24×131
Prime Factorization of 211
211 | 211 |
1 |
Prime factors of 211 are 211. Prime factorization of 211 in exponential form is:
211 = 2111
∴ So by taking common prime factors GCF of 208 and 211 is 1
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 211
List of positive integer factors of 211 that divides 211 without a remainder.
1,211
Greatest Common Factor
We found the factors and prime factorization of 208 and 211. The biggest common factor number is the GCF number.
So the greatest common factor 208 and 211 is 1.
Also check out the Least Common Multiple of 208 and 211
(i) The GCF of 208 and 211 is associative
GCF of 208 and 211 = GCF of 211 and 208
1. What is the GCF of 208 and 211?
Answer: GCF of 208 and 211 is 1.
2. What are the Factors of 208?
Answer: Factors of 208 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 208. There are 10 integers that are factors of 208. The greatest factor of 208 is 208.
3. What are the Factors of 211?
Answer: Factors of 211 are 1, 211. There are 2 integers that are factors of 211. The greatest factor of 211 is 211.
4. How to Find the GCF of 208 and 211?
Answer:
Greatest Common Factor of 208 and 211 = 1
Step 1: Find the prime factorization of 208
208 = 2 x 2 x 2 x 2 x 13
Step 2: Find the prime factorization of 211
211 = 211
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 208 and 211 is 1