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 8026, 8033 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8026 and 8033 is 1.
GCF(8026,8033) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8026
2 | 8026 |
4013 | 4013 |
1 |
Prime factors of 8026 are 2,4013. Prime factorization of 8026 in exponential form is:
8026 = 21×40131
Prime Factorization of 8033
29 | 8033 |
277 | 277 |
1 |
Prime factors of 8033 are 29,277. Prime factorization of 8033 in exponential form is:
8033 = 291×2771
∴ So by taking common prime factors GCF of 8026 and 8033 is 1
Factors of 8026
List of positive integer factors of 8026 that divides 8026 without a remainder.
1,2,4013,8026
Factors of 8033
List of positive integer factors of 8033 that divides 8033 without a remainder.
1,29,277,8033
Greatest Common Factor
We found the factors and prime factorization of 8026 and 8033. The biggest common factor number is the GCF number.
So the greatest common factor 8026 and 8033 is 1.
Also check out the Least Common Multiple of 8026 and 8033
(i) The GCF of 8026 and 8033 is associative
GCF of 8026 and 8033 = GCF of 8033 and 8026
1. What is the GCF of 8026 and 8033?
Answer: GCF of 8026 and 8033 is 1.
2. What are the Factors of 8026?
Answer: Factors of 8026 are 1, 2, 4013, 8026. There are 4 integers that are factors of 8026. The greatest factor of 8026 is 8026.
3. What are the Factors of 8033?
Answer: Factors of 8033 are 1, 29, 277, 8033. There are 4 integers that are factors of 8033. The greatest factor of 8033 is 8033.
4. How to Find the GCF of 8026 and 8033?
Answer:
Greatest Common Factor of 8026 and 8033 = 1
Step 1: Find the prime factorization of 8026
8026 = 2 x 4013
Step 2: Find the prime factorization of 8033
8033 = 29 x 277
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 8026 and 8033 is 1