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 4012, 4018 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4012 and 4018 is 2.
GCF(4012,4018) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4012
2 | 4012 |
2 | 2006 |
17 | 1003 |
59 | 59 |
1 |
Prime factors of 4012 are 2,17,59. Prime factorization of 4012 in exponential form is:
4012 = 22×171×591
Prime Factorization of 4018
2 | 4018 |
7 | 2009 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 4018 are 2,7,41. Prime factorization of 4018 in exponential form is:
4018 = 21×72×411
∴ So by taking common prime factors GCF of 4012 and 4018 is 2
Factors of 4012
List of positive integer factors of 4012 that divides 4012 without a remainder.
1,2,4,17,34,59,68,118,236,1003,2006,4012
Factors of 4018
List of positive integer factors of 4018 that divides 4018 without a remainder.
1,2,7,14,41,49,82,98,287,574,2009,4018
Greatest Common Factor
We found the factors and prime factorization of 4012 and 4018. The biggest common factor number is the GCF number.
So the greatest common factor 4012 and 4018 is 2.
Also check out the Least Common Multiple of 4012 and 4018
(i) The GCF of 4012 and 4018 is associative
GCF of 4012 and 4018 = GCF of 4018 and 4012
1. What is the GCF of 4012 and 4018?
Answer: GCF of 4012 and 4018 is 2.
2. What are the Factors of 4012?
Answer: Factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012. There are 12 integers that are factors of 4012. The greatest factor of 4012 is 4012.
3. What are the Factors of 4018?
Answer: Factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018. There are 12 integers that are factors of 4018. The greatest factor of 4018 is 4018.
4. How to Find the GCF of 4012 and 4018?
Answer:
Greatest Common Factor of 4012 and 4018 = 2
Step 1: Find the prime factorization of 4012
4012 = 2 x 2 x 17 x 59
Step 2: Find the prime factorization of 4018
4018 = 2 x 7 x 7 x 41
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 4012 and 4018 is 2