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 3247, 3249 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3247 and 3249 is 1.
GCF(3247,3249) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3247
17 | 3247 |
191 | 191 |
1 |
Prime factors of 3247 are 17,191. Prime factorization of 3247 in exponential form is:
3247 = 171×1911
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
∴ So by taking common prime factors GCF of 3247 and 3249 is 1
Factors of 3247
List of positive integer factors of 3247 that divides 3247 without a remainder.
1,17,191,3247
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
Greatest Common Factor
We found the factors and prime factorization of 3247 and 3249. The biggest common factor number is the GCF number.
So the greatest common factor 3247 and 3249 is 1.
Also check out the Least Common Multiple of 3247 and 3249
(i) The GCF of 3247 and 3249 is associative
GCF of 3247 and 3249 = GCF of 3249 and 3247
1. What is the GCF of 3247 and 3249?
Answer: GCF of 3247 and 3249 is 1.
2. What are the Factors of 3247?
Answer: Factors of 3247 are 1, 17, 191, 3247. There are 4 integers that are factors of 3247. The greatest factor of 3247 is 3247.
3. 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.
4. How to Find the GCF of 3247 and 3249?
Answer:
Greatest Common Factor of 3247 and 3249 = 1
Step 1: Find the prime factorization of 3247
3247 = 17 x 191
Step 2: Find the prime factorization of 3249
3249 = 3 x 3 x 19 x 19
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 3247 and 3249 is 1