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 4028, 4036 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4028 and 4036 is 4.
GCF(4028,4036) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4028
2 | 4028 |
2 | 2014 |
19 | 1007 |
53 | 53 |
1 |
Prime factors of 4028 are 2,19,53. Prime factorization of 4028 in exponential form is:
4028 = 22×191×531
Prime Factorization of 4036
2 | 4036 |
2 | 2018 |
1009 | 1009 |
1 |
Prime factors of 4036 are 2,1009. Prime factorization of 4036 in exponential form is:
4036 = 22×10091
∴ So by taking common prime factors GCF of 4028 and 4036 is 4
Factors of 4028
List of positive integer factors of 4028 that divides 4028 without a remainder.
1,2,4,19,38,53,76,106,212,1007,2014,4028
Factors of 4036
List of positive integer factors of 4036 that divides 4036 without a remainder.
1,2,4,1009,2018,4036
Greatest Common Factor
We found the factors and prime factorization of 4028 and 4036. The biggest common factor number is the GCF number.
So the greatest common factor 4028 and 4036 is 4.
Also check out the Least Common Multiple of 4028 and 4036
(i) The GCF of 4028 and 4036 is associative
GCF of 4028 and 4036 = GCF of 4036 and 4028
1. What is the GCF of 4028 and 4036?
Answer: GCF of 4028 and 4036 is 4.
2. What are the Factors of 4028?
Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.
3. What are the Factors of 4036?
Answer: Factors of 4036 are 1, 2, 4, 1009, 2018, 4036. There are 6 integers that are factors of 4036. The greatest factor of 4036 is 4036.
4. How to Find the GCF of 4028 and 4036?
Answer:
Greatest Common Factor of 4028 and 4036 = 4
Step 1: Find the prime factorization of 4028
4028 = 2 x 2 x 19 x 53
Step 2: Find the prime factorization of 4036
4036 = 2 x 2 x 1009
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 4028 and 4036 is 4