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 1026, 1033 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1026 and 1033 is 1.
GCF(1026,1033) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1026
2 | 1026 |
3 | 513 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 1026 are 2,3,19. Prime factorization of 1026 in exponential form is:
1026 = 21×33×191
Prime Factorization of 1033
1033 | 1033 |
1 |
Prime factors of 1033 are 1033. Prime factorization of 1033 in exponential form is:
1033 = 10331
∴ So by taking common prime factors GCF of 1026 and 1033 is 1
Factors of 1026
List of positive integer factors of 1026 that divides 1026 without a remainder.
1,2,3,6,9,18,19,27,38,54,57,114,171,342,513,1026
Factors of 1033
List of positive integer factors of 1033 that divides 1033 without a remainder.
1,1033
Greatest Common Factor
We found the factors and prime factorization of 1026 and 1033. The biggest common factor number is the GCF number.
So the greatest common factor 1026 and 1033 is 1.
Also check out the Least Common Multiple of 1026 and 1033
(i) The GCF of 1026 and 1033 is associative
GCF of 1026 and 1033 = GCF of 1033 and 1026
1. What is the GCF of 1026 and 1033?
Answer: GCF of 1026 and 1033 is 1.
2. What are the Factors of 1026?
Answer: Factors of 1026 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 114, 171, 342, 513, 1026. There are 16 integers that are factors of 1026. The greatest factor of 1026 is 1026.
3. What are the Factors of 1033?
Answer: Factors of 1033 are 1, 1033. There are 2 integers that are factors of 1033. The greatest factor of 1033 is 1033.
4. How to Find the GCF of 1026 and 1033?
Answer:
Greatest Common Factor of 1026 and 1033 = 1
Step 1: Find the prime factorization of 1026
1026 = 2 x 3 x 3 x 3 x 19
Step 2: Find the prime factorization of 1033
1033 = 1033
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 1026 and 1033 is 1