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 5209, 5211 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5209 and 5211 is 1.
GCF(5209,5211) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5209
5209 | 5209 |
1 |
Prime factors of 5209 are 5209. Prime factorization of 5209 in exponential form is:
5209 = 52091
Prime Factorization of 5211
3 | 5211 |
3 | 1737 |
3 | 579 |
193 | 193 |
1 |
Prime factors of 5211 are 3.Prime factorization of 5211 in exponential form is:
5211 = 33×1931
∴ So by taking common prime factors GCF of 5209 and 5211 is 1
Factors of 5209
List of positive integer factors of 5209 that divides 5209 without a remainder.
1,5209
Factors of 5211
List of positive integer factors of 5211 that divides 5211 without a remainder.
1,3,9,27,193,579,1737,5211
Greatest Common Factor
We found the factors and prime factorization of 5209 and 5211. The biggest common factor number is the GCF number.
So the greatest common factor 5209 and 5211 is 1.
Also check out the Least Common Multiple of 5209 and 5211
(i) The GCF of 5209 and 5211 is associative
GCF of 5209 and 5211 = GCF of 5211 and 5209
1. What is the GCF of 5209 and 5211?
Answer: GCF of 5209 and 5211 is 1.
2. What are the Factors of 5209?
Answer: Factors of 5209 are 1, 5209. There are 2 integers that are factors of 5209. The greatest factor of 5209 is 5209.
3. What are the Factors of 5211?
Answer: Factors of 5211 are 1, 3, 9, 27, 193, 579, 1737, 5211. There are 8 integers that are factors of 5211. The greatest factor of 5211 is 5211.
4. How to Find the GCF of 5209 and 5211?
Answer:
Greatest Common Factor of 5209 and 5211 = 1
Step 1: Find the prime factorization of 5209
5209 = 5209
Step 2: Find the prime factorization of 5211
5211 = 3 x 3 x 3 x 193
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 5209 and 5211 is 1