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 9023, 9029 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9023 and 9029 is 1.
GCF(9023,9029) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9023
7 | 9023 |
1289 | 1289 |
1 |
Prime factors of 9023 are 7,1289. Prime factorization of 9023 in exponential form is:
9023 = 71×12891
Prime Factorization of 9029
9029 | 9029 |
1 |
Prime factors of 9029 are 9029. Prime factorization of 9029 in exponential form is:
9029 = 90291
∴ So by taking common prime factors GCF of 9023 and 9029 is 1
Factors of 9023
List of positive integer factors of 9023 that divides 9023 without a remainder.
1,7,1289,9023
Factors of 9029
List of positive integer factors of 9029 that divides 9029 without a remainder.
1,9029
Greatest Common Factor
We found the factors and prime factorization of 9023 and 9029. The biggest common factor number is the GCF number.
So the greatest common factor 9023 and 9029 is 1.
Also check out the Least Common Multiple of 9023 and 9029
(i) The GCF of 9023 and 9029 is associative
GCF of 9023 and 9029 = GCF of 9029 and 9023
1. What is the GCF of 9023 and 9029?
Answer: GCF of 9023 and 9029 is 1.
2. What are the Factors of 9023?
Answer: Factors of 9023 are 1, 7, 1289, 9023. There are 4 integers that are factors of 9023. The greatest factor of 9023 is 9023.
3. What are the Factors of 9029?
Answer: Factors of 9029 are 1, 9029. There are 2 integers that are factors of 9029. The greatest factor of 9029 is 9029.
4. How to Find the GCF of 9023 and 9029?
Answer:
Greatest Common Factor of 9023 and 9029 = 1
Step 1: Find the prime factorization of 9023
9023 = 7 x 1289
Step 2: Find the prime factorization of 9029
9029 = 9029
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 9023 and 9029 is 1