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 4023, 4028 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4023 and 4028 is 1.
GCF(4023,4028) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4023
3 | 4023 |
3 | 1341 |
3 | 447 |
149 | 149 |
1 |
Prime factors of 4023 are 3,149. Prime factorization of 4023 in exponential form is:
4023 = 33×1491
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
∴ So by taking common prime factors GCF of 4023 and 4028 is 1
Factors of 4023
List of positive integer factors of 4023 that divides 4023 without a remainder.
1,3,9,27,149,447,1341,4023
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
Greatest Common Factor
We found the factors and prime factorization of 4023 and 4028. The biggest common factor number is the GCF number.
So the greatest common factor 4023 and 4028 is 1.
Also check out the Least Common Multiple of 4023 and 4028
(i) The GCF of 4023 and 4028 is associative
GCF of 4023 and 4028 = GCF of 4028 and 4023
1. What is the GCF of 4023 and 4028?
Answer: GCF of 4023 and 4028 is 1.
2. What are the Factors of 4023?
Answer: Factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023. There are 8 integers that are factors of 4023. The greatest factor of 4023 is 4023.
3. 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.
4. How to Find the GCF of 4023 and 4028?
Answer:
Greatest Common Factor of 4023 and 4028 = 1
Step 1: Find the prime factorization of 4023
4023 = 3 x 3 x 3 x 149
Step 2: Find the prime factorization of 4028
4028 = 2 x 2 x 19 x 53
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 4023 and 4028 is 1