Greatest Common Factor of 3249 and 3254
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 3249, 3254 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3249 and 3254 is 1.
GCF(3249,3254) = 1
GCF of 3249 and 3254
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 3249 and 3254 by prime factorization method
- Greatest Common Factor of 3249 and 3254 by matching factors method
GCF of 3249 and 3254 is 1
Prime Factorization of 3249
| 3 | 3249 |
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 3249 are 3,19. Prime factorization of 3249 in exponential form is:
3249 = 32×192
Prime Factorization of 3254
| 2 | 3254 |
| 1627 | 1627 |
| 1 |
Prime factors of 3254 are 2,1627. Prime factorization of 3254 in exponential form is:
3254 = 21×16271
∴ So by taking common prime factors GCF of 3249 and 3254 is 1
Greatest Common Factor of 3249 and 3254 by matching factors method
Factors of 3249
List of positive integer factors of 3249 that divides 3249 without a remainder.
1,3,9,19,57,171,361,1083,3249
Factors of 3254
List of positive integer factors of 3254 that divides 3254 without a remainder.
1,2,1627,3254
Greatest Common Factor
We found the factors and prime factorization of 3249 and 3254. The biggest common factor number is the GCF number.
So the greatest common factor 3249 and 3254 is 1.
Also check out the Least Common Multiple of 3249 and 3254
Properties of GCF 3249 and 3254
(i) The GCF of 3249 and 3254 is associative
GCF of 3249 and 3254 = GCF of 3254 and 3249
Related Greatest Common Factor of 3249
Related Greatest Common Factor of 3254
Frequently Asked Questions on GCF of 3249 and 3254
1. What is the GCF of 3249 and 3254?
Answer: GCF of 3249 and 3254 is 1.
2. What are the Factors of 3249?
Answer: Factors of 3249 are 1, 3, 9, 19, 57, 171, 361, 1083, 3249. There are 9 integers that are factors of 3249. The greatest factor of 3249 is 3249.
3. What are the Factors of 3254?
Answer: Factors of 3254 are 1, 2, 1627, 3254. There are 4 integers that are factors of 3254. The greatest factor of 3254 is 3254.
4. How to Find the GCF of 3249 and 3254?
Answer:
Greatest Common Factor of 3249 and 3254 = 1
Step 1: Find the prime factorization of 3249
3249 = 3 x 3 x 19 x 19
Step 2: Find the prime factorization of 3254
3254 = 2 x 1627
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 3249 and 3254 is 1