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 8038, 8046 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8038 and 8046 is 2.
GCF(8038,8046) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8038
2 | 8038 |
4019 | 4019 |
1 |
Prime factors of 8038 are 2,4019. Prime factorization of 8038 in exponential form is:
8038 = 21×40191
Prime Factorization of 8046
2 | 8046 |
3 | 4023 |
3 | 1341 |
3 | 447 |
149 | 149 |
1 |
Prime factors of 8046 are 2,3,149. Prime factorization of 8046 in exponential form is:
8046 = 21×33×1491
∴ So by taking common prime factors GCF of 8038 and 8046 is 2
Factors of 8038
List of positive integer factors of 8038 that divides 8038 without a remainder.
1,2,4019,8038
Factors of 8046
List of positive integer factors of 8046 that divides 8046 without a remainder.
1,2,3,6,9,18,27,54,149,298,447,894,1341,2682,4023,8046
Greatest Common Factor
We found the factors and prime factorization of 8038 and 8046. The biggest common factor number is the GCF number.
So the greatest common factor 8038 and 8046 is 2.
Also check out the Least Common Multiple of 8038 and 8046
(i) The GCF of 8038 and 8046 is associative
GCF of 8038 and 8046 = GCF of 8046 and 8038
1. What is the GCF of 8038 and 8046?
Answer: GCF of 8038 and 8046 is 2.
2. What are the Factors of 8038?
Answer: Factors of 8038 are 1, 2, 4019, 8038. There are 4 integers that are factors of 8038. The greatest factor of 8038 is 8038.
3. What are the Factors of 8046?
Answer: Factors of 8046 are 1, 2, 3, 6, 9, 18, 27, 54, 149, 298, 447, 894, 1341, 2682, 4023, 8046. There are 16 integers that are factors of 8046. The greatest factor of 8046 is 8046.
4. How to Find the GCF of 8038 and 8046?
Answer:
Greatest Common Factor of 8038 and 8046 = 2
Step 1: Find the prime factorization of 8038
8038 = 2 x 4019
Step 2: Find the prime factorization of 8046
8046 = 2 x 3 x 3 x 3 x 149
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8038 and 8046 is 2