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 4041, 4047 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4041 and 4047 is 3.
GCF(4041,4047) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4041
3 | 4041 |
3 | 1347 |
449 | 449 |
1 |
Prime factors of 4041 are 3,449. Prime factorization of 4041 in exponential form is:
4041 = 32×4491
Prime Factorization of 4047
3 | 4047 |
19 | 1349 |
71 | 71 |
1 |
Prime factors of 4047 are 3,19,71. Prime factorization of 4047 in exponential form is:
4047 = 31×191×711
∴ So by taking common prime factors GCF of 4041 and 4047 is 3
Factors of 4041
List of positive integer factors of 4041 that divides 4041 without a remainder.
1,3,9,449,1347,4041
Factors of 4047
List of positive integer factors of 4047 that divides 4047 without a remainder.
1,3,19,57,71,213,1349,4047
Greatest Common Factor
We found the factors and prime factorization of 4041 and 4047. The biggest common factor number is the GCF number.
So the greatest common factor 4041 and 4047 is 3.
Also check out the Least Common Multiple of 4041 and 4047
(i) The GCF of 4041 and 4047 is associative
GCF of 4041 and 4047 = GCF of 4047 and 4041
1. What is the GCF of 4041 and 4047?
Answer: GCF of 4041 and 4047 is 3.
2. What are the Factors of 4041?
Answer: Factors of 4041 are 1, 3, 9, 449, 1347, 4041. There are 6 integers that are factors of 4041. The greatest factor of 4041 is 4041.
3. What are the Factors of 4047?
Answer: Factors of 4047 are 1, 3, 19, 57, 71, 213, 1349, 4047. There are 8 integers that are factors of 4047. The greatest factor of 4047 is 4047.
4. How to Find the GCF of 4041 and 4047?
Answer:
Greatest Common Factor of 4041 and 4047 = 3
Step 1: Find the prime factorization of 4041
4041 = 3 x 3 x 449
Step 2: Find the prime factorization of 4047
4047 = 3 x 19 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 4041 and 4047 is 3