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 4014, 4020 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4014 and 4020 is 6.
GCF(4014,4020) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4014
2 | 4014 |
3 | 2007 |
3 | 669 |
223 | 223 |
1 |
Prime factors of 4014 are 2,3,223. Prime factorization of 4014 in exponential form is:
4014 = 21×32×2231
Prime Factorization of 4020
2 | 4020 |
2 | 2010 |
3 | 1005 |
5 | 335 |
67 | 67 |
1 |
Prime factors of 4020 are 2,3,5,67. Prime factorization of 4020 in exponential form is:
4020 = 22×31×51×671
∴ So by taking common prime factors GCF of 4014 and 4020 is 6
Factors of 4014
List of positive integer factors of 4014 that divides 4014 without a remainder.
1,2,3,6,9,18,223,446,669,1338,2007,4014
Factors of 4020
List of positive integer factors of 4020 that divides 4020 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,67,134,201,268,335,402,670,804,1005,1340,2010,4020
Greatest Common Factor
We found the factors and prime factorization of 4014 and 4020. The biggest common factor number is the GCF number.
So the greatest common factor 4014 and 4020 is 6.
Also check out the Least Common Multiple of 4014 and 4020
(i) The GCF of 4014 and 4020 is associative
GCF of 4014 and 4020 = GCF of 4020 and 4014
1. What is the GCF of 4014 and 4020?
Answer: GCF of 4014 and 4020 is 6.
2. What are the Factors of 4014?
Answer: Factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014. There are 12 integers that are factors of 4014. The greatest factor of 4014 is 4014.
3. What are the Factors of 4020?
Answer: Factors of 4020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 67, 134, 201, 268, 335, 402, 670, 804, 1005, 1340, 2010, 4020. There are 24 integers that are factors of 4020. The greatest factor of 4020 is 4020.
4. How to Find the GCF of 4014 and 4020?
Answer:
Greatest Common Factor of 4014 and 4020 = 6
Step 1: Find the prime factorization of 4014
4014 = 2 x 3 x 3 x 223
Step 2: Find the prime factorization of 4020
4020 = 2 x 2 x 3 x 5 x 67
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 4014 and 4020 is 6