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 4017, 4021 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4017 and 4021 is 1.
GCF(4017,4021) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4017
3 | 4017 |
13 | 1339 |
103 | 103 |
1 |
Prime factors of 4017 are 3,13,103. Prime factorization of 4017 in exponential form is:
4017 = 31×131×1031
Prime Factorization of 4021
4021 | 4021 |
1 |
Prime factors of 4021 are 4021. Prime factorization of 4021 in exponential form is:
4021 = 40211
∴ So by taking common prime factors GCF of 4017 and 4021 is 1
Factors of 4017
List of positive integer factors of 4017 that divides 4017 without a remainder.
1,3,13,39,103,309,1339,4017
Factors of 4021
List of positive integer factors of 4021 that divides 4021 without a remainder.
1,4021
Greatest Common Factor
We found the factors and prime factorization of 4017 and 4021. The biggest common factor number is the GCF number.
So the greatest common factor 4017 and 4021 is 1.
Also check out the Least Common Multiple of 4017 and 4021
(i) The GCF of 4017 and 4021 is associative
GCF of 4017 and 4021 = GCF of 4021 and 4017
1. What is the GCF of 4017 and 4021?
Answer: GCF of 4017 and 4021 is 1.
2. What are the Factors of 4017?
Answer: Factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017. There are 8 integers that are factors of 4017. The greatest factor of 4017 is 4017.
3. What are the Factors of 4021?
Answer: Factors of 4021 are 1, 4021. There are 2 integers that are factors of 4021. The greatest factor of 4021 is 4021.
4. How to Find the GCF of 4017 and 4021?
Answer:
Greatest Common Factor of 4017 and 4021 = 1
Step 1: Find the prime factorization of 4017
4017 = 3 x 13 x 103
Step 2: Find the prime factorization of 4021
4021 = 4021
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 4017 and 4021 is 1