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 4029, 4034 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4029 and 4034 is 1.
GCF(4029,4034) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4029
3 | 4029 |
17 | 1343 |
79 | 79 |
1 |
Prime factors of 4029 are 3,17,79. Prime factorization of 4029 in exponential form is:
4029 = 31×171×791
Prime Factorization of 4034
2 | 4034 |
2017 | 2017 |
1 |
Prime factors of 4034 are 2,2017. Prime factorization of 4034 in exponential form is:
4034 = 21×20171
∴ So by taking common prime factors GCF of 4029 and 4034 is 1
Factors of 4029
List of positive integer factors of 4029 that divides 4029 without a remainder.
1,3,17,51,79,237,1343,4029
Factors of 4034
List of positive integer factors of 4034 that divides 4034 without a remainder.
1,2,2017,4034
Greatest Common Factor
We found the factors and prime factorization of 4029 and 4034. The biggest common factor number is the GCF number.
So the greatest common factor 4029 and 4034 is 1.
Also check out the Least Common Multiple of 4029 and 4034
(i) The GCF of 4029 and 4034 is associative
GCF of 4029 and 4034 = GCF of 4034 and 4029
1. What is the GCF of 4029 and 4034?
Answer: GCF of 4029 and 4034 is 1.
2. What are the Factors of 4029?
Answer: Factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029. There are 8 integers that are factors of 4029. The greatest factor of 4029 is 4029.
3. What are the Factors of 4034?
Answer: Factors of 4034 are 1, 2, 2017, 4034. There are 4 integers that are factors of 4034. The greatest factor of 4034 is 4034.
4. How to Find the GCF of 4029 and 4034?
Answer:
Greatest Common Factor of 4029 and 4034 = 1
Step 1: Find the prime factorization of 4029
4029 = 3 x 17 x 79
Step 2: Find the prime factorization of 4034
4034 = 2 x 2017
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 4029 and 4034 is 1