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 3219, 3223 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3219 and 3223 is 1.
GCF(3219,3223) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3219
3 | 3219 |
29 | 1073 |
37 | 37 |
1 |
Prime factors of 3219 are 3,29,37. Prime factorization of 3219 in exponential form is:
3219 = 31×291×371
Prime Factorization of 3223
11 | 3223 |
293 | 293 |
1 |
Prime factors of 3223 are 11,293. Prime factorization of 3223 in exponential form is:
3223 = 111×2931
∴ So by taking common prime factors GCF of 3219 and 3223 is 1
Factors of 3219
List of positive integer factors of 3219 that divides 3219 without a remainder.
1,3,29,37,87,111,1073,3219
Factors of 3223
List of positive integer factors of 3223 that divides 3223 without a remainder.
1,11,293,3223
Greatest Common Factor
We found the factors and prime factorization of 3219 and 3223. The biggest common factor number is the GCF number.
So the greatest common factor 3219 and 3223 is 1.
Also check out the Least Common Multiple of 3219 and 3223
(i) The GCF of 3219 and 3223 is associative
GCF of 3219 and 3223 = GCF of 3223 and 3219
1. What is the GCF of 3219 and 3223?
Answer: GCF of 3219 and 3223 is 1.
2. What are the Factors of 3219?
Answer: Factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219. There are 8 integers that are factors of 3219. The greatest factor of 3219 is 3219.
3. What are the Factors of 3223?
Answer: Factors of 3223 are 1, 11, 293, 3223. There are 4 integers that are factors of 3223. The greatest factor of 3223 is 3223.
4. How to Find the GCF of 3219 and 3223?
Answer:
Greatest Common Factor of 3219 and 3223 = 1
Step 1: Find the prime factorization of 3219
3219 = 3 x 29 x 37
Step 2: Find the prime factorization of 3223
3223 = 11 x 293
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 3219 and 3223 is 1