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 6049, 6054 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6049 and 6054 is 1.
GCF(6049,6054) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6049
23 | 6049 |
263 | 263 |
1 |
Prime factors of 6049 are 23,263. Prime factorization of 6049 in exponential form is:
6049 = 231×2631
Prime Factorization of 6054
2 | 6054 |
3 | 3027 |
1009 | 1009 |
1 |
Prime factors of 6054 are 2,3,1009. Prime factorization of 6054 in exponential form is:
6054 = 21×31×10091
∴ So by taking common prime factors GCF of 6049 and 6054 is 1
Factors of 6049
List of positive integer factors of 6049 that divides 6049 without a remainder.
1,23,263,6049
Factors of 6054
List of positive integer factors of 6054 that divides 6054 without a remainder.
1,2,3,6,1009,2018,3027,6054
Greatest Common Factor
We found the factors and prime factorization of 6049 and 6054. The biggest common factor number is the GCF number.
So the greatest common factor 6049 and 6054 is 1.
Also check out the Least Common Multiple of 6049 and 6054
(i) The GCF of 6049 and 6054 is associative
GCF of 6049 and 6054 = GCF of 6054 and 6049
1. What is the GCF of 6049 and 6054?
Answer: GCF of 6049 and 6054 is 1.
2. What are the Factors of 6049?
Answer: Factors of 6049 are 1, 23, 263, 6049. There are 4 integers that are factors of 6049. The greatest factor of 6049 is 6049.
3. What are the Factors of 6054?
Answer: Factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054. There are 8 integers that are factors of 6054. The greatest factor of 6054 is 6054.
4. How to Find the GCF of 6049 and 6054?
Answer:
Greatest Common Factor of 6049 and 6054 = 1
Step 1: Find the prime factorization of 6049
6049 = 23 x 263
Step 2: Find the prime factorization of 6054
6054 = 2 x 3 x 1009
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 6049 and 6054 is 1