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, 6254 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6249 and 6254 is 1.
GCF(6249,6254) = 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 6254
2 | 6254 |
53 | 3127 |
59 | 59 |
1 |
Prime factors of 6254 are 2,53,59. Prime factorization of 6254 in exponential form is:
6254 = 21×531×591
∴ So by taking common prime factors GCF of 6249 and 6254 is 1
Factors of 6249
List of positive integer factors of 6249 that divides 6249 without a remainder.
1,3,2083,6249
Factors of 6254
List of positive integer factors of 6254 that divides 6254 without a remainder.
1,2,53,59,106,118,3127,6254
Greatest Common Factor
We found the factors and prime factorization of 6249 and 6254. The biggest common factor number is the GCF number.
So the greatest common factor 6249 and 6254 is 1.
Also check out the Least Common Multiple of 6249 and 6254
(i) The GCF of 6249 and 6254 is associative
GCF of 6249 and 6254 = GCF of 6254 and 6249
1. What is the GCF of 6249 and 6254?
Answer: GCF of 6249 and 6254 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 6254?
Answer: Factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254. There are 8 integers that are factors of 6254. The greatest factor of 6254 is 6254.
4. How to Find the GCF of 6249 and 6254?
Answer:
Greatest Common Factor of 6249 and 6254 = 1
Step 1: Find the prime factorization of 6249
6249 = 3 x 2083
Step 2: Find the prime factorization of 6254
6254 = 2 x 53 x 59
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 6254 is 1