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, 4030 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4023 and 4030 is 1.
GCF(4023,4030) = 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 4030
2 | 4030 |
5 | 2015 |
13 | 403 |
31 | 31 |
1 |
Prime factors of 4030 are 2,5,13,31. Prime factorization of 4030 in exponential form is:
4030 = 21×51×131×311
∴ So by taking common prime factors GCF of 4023 and 4030 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 4030
List of positive integer factors of 4030 that divides 4030 without a remainder.
1,2,5,10,13,26,31,62,65,130,155,310,403,806,2015,4030
Greatest Common Factor
We found the factors and prime factorization of 4023 and 4030. The biggest common factor number is the GCF number.
So the greatest common factor 4023 and 4030 is 1.
Also check out the Least Common Multiple of 4023 and 4030
(i) The GCF of 4023 and 4030 is associative
GCF of 4023 and 4030 = GCF of 4030 and 4023
1. What is the GCF of 4023 and 4030?
Answer: GCF of 4023 and 4030 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 4030?
Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.
4. How to Find the GCF of 4023 and 4030?
Answer:
Greatest Common Factor of 4023 and 4030 = 1
Step 1: Find the prime factorization of 4023
4023 = 3 x 3 x 3 x 149
Step 2: Find the prime factorization of 4030
4030 = 2 x 5 x 13 x 31
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 4030 is 1