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 3284, 3291 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3284 and 3291 is 1.
GCF(3284,3291) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3284
2 | 3284 |
2 | 1642 |
821 | 821 |
1 |
Prime factors of 3284 are 2,821. Prime factorization of 3284 in exponential form is:
3284 = 22×8211
Prime Factorization of 3291
3 | 3291 |
1097 | 1097 |
1 |
Prime factors of 3291 are 3,1097. Prime factorization of 3291 in exponential form is:
3291 = 31×10971
∴ So by taking common prime factors GCF of 3284 and 3291 is 1
Factors of 3284
List of positive integer factors of 3284 that divides 3284 without a remainder.
1,2,4,821,1642,3284
Factors of 3291
List of positive integer factors of 3291 that divides 3291 without a remainder.
1,3,1097,3291
Greatest Common Factor
We found the factors and prime factorization of 3284 and 3291. The biggest common factor number is the GCF number.
So the greatest common factor 3284 and 3291 is 1.
Also check out the Least Common Multiple of 3284 and 3291
(i) The GCF of 3284 and 3291 is associative
GCF of 3284 and 3291 = GCF of 3291 and 3284
1. What is the GCF of 3284 and 3291?
Answer: GCF of 3284 and 3291 is 1.
2. What are the Factors of 3284?
Answer: Factors of 3284 are 1, 2, 4, 821, 1642, 3284. There are 6 integers that are factors of 3284. The greatest factor of 3284 is 3284.
3. What are the Factors of 3291?
Answer: Factors of 3291 are 1, 3, 1097, 3291. There are 4 integers that are factors of 3291. The greatest factor of 3291 is 3291.
4. How to Find the GCF of 3284 and 3291?
Answer:
Greatest Common Factor of 3284 and 3291 = 1
Step 1: Find the prime factorization of 3284
3284 = 2 x 2 x 821
Step 2: Find the prime factorization of 3291
3291 = 3 x 1097
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 3284 and 3291 is 1