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 6249, 6251 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6249 and 6251 is 1.
GCF(6249,6251) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6249
3 | 6249 |
2083 | 2083 |
1 |
Prime factors of 6249 are 3,2083. Prime factorization of 6249 in exponential form is:
6249 = 31×20831
Prime Factorization of 6251
7 | 6251 |
19 | 893 |
47 | 47 |
1 |
Prime factors of 6251 are 7,19,47. Prime factorization of 6251 in exponential form is:
6251 = 71×191×471
∴ So by taking common prime factors GCF of 6249 and 6251 is 1
Factors of 6249
List of positive integer factors of 6249 that divides 6249 without a remainder.
1,3,2083,6249
Factors of 6251
List of positive integer factors of 6251 that divides 6251 without a remainder.
1,7,19,47,133,329,893,6251
Greatest Common Factor
We found the factors and prime factorization of 6249 and 6251. The biggest common factor number is the GCF number.
So the greatest common factor 6249 and 6251 is 1.
Also check out the Least Common Multiple of 6249 and 6251
(i) The GCF of 6249 and 6251 is associative
GCF of 6249 and 6251 = GCF of 6251 and 6249
1. What is the GCF of 6249 and 6251?
Answer: GCF of 6249 and 6251 is 1.
2. What are the Factors of 6249?
Answer: Factors of 6249 are 1, 3, 2083, 6249. There are 4 integers that are factors of 6249. The greatest factor of 6249 is 6249.
3. What are the Factors of 6251?
Answer: Factors of 6251 are 1, 7, 19, 47, 133, 329, 893, 6251. There are 8 integers that are factors of 6251. The greatest factor of 6251 is 6251.
4. How to Find the GCF of 6249 and 6251?
Answer:
Greatest Common Factor of 6249 and 6251 = 1
Step 1: Find the prime factorization of 6249
6249 = 3 x 2083
Step 2: Find the prime factorization of 6251
6251 = 7 x 19 x 47
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 6249 and 6251 is 1