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 4089, 4090 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4089 and 4090 is 1.
GCF(4089,4090) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4089
3 | 4089 |
29 | 1363 |
47 | 47 |
1 |
Prime factors of 4089 are 3,29,47. Prime factorization of 4089 in exponential form is:
4089 = 31×291×471
Prime Factorization of 4090
2 | 4090 |
5 | 2045 |
409 | 409 |
1 |
Prime factors of 4090 are 2,5,409. Prime factorization of 4090 in exponential form is:
4090 = 21×51×4091
∴ So by taking common prime factors GCF of 4089 and 4090 is 1
Factors of 4089
List of positive integer factors of 4089 that divides 4089 without a remainder.
1,3,29,47,87,141,1363,4089
Factors of 4090
List of positive integer factors of 4090 that divides 4090 without a remainder.
1,2,5,10,409,818,2045,4090
Greatest Common Factor
We found the factors and prime factorization of 4089 and 4090. The biggest common factor number is the GCF number.
So the greatest common factor 4089 and 4090 is 1.
Also check out the Least Common Multiple of 4089 and 4090
(i) The GCF of 4089 and 4090 is associative
GCF of 4089 and 4090 = GCF of 4090 and 4089
1. What is the GCF of 4089 and 4090?
Answer: GCF of 4089 and 4090 is 1.
2. What are the Factors of 4089?
Answer: Factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089. There are 8 integers that are factors of 4089. The greatest factor of 4089 is 4089.
3. What are the Factors of 4090?
Answer: Factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090. There are 8 integers that are factors of 4090. The greatest factor of 4090 is 4090.
4. How to Find the GCF of 4089 and 4090?
Answer:
Greatest Common Factor of 4089 and 4090 = 1
Step 1: Find the prime factorization of 4089
4089 = 3 x 29 x 47
Step 2: Find the prime factorization of 4090
4090 = 2 x 5 x 409
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 4089 and 4090 is 1