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 9073, 9080 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9073 and 9080 is 1.
GCF(9073,9080) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9073
43 | 9073 |
211 | 211 |
1 |
Prime factors of 9073 are 43,211. Prime factorization of 9073 in exponential form is:
9073 = 431×2111
Prime Factorization of 9080
2 | 9080 |
2 | 4540 |
2 | 2270 |
5 | 1135 |
227 | 227 |
1 |
Prime factors of 9080 are 2,5,227. Prime factorization of 9080 in exponential form is:
9080 = 23×51×2271
∴ So by taking common prime factors GCF of 9073 and 9080 is 1
Factors of 9073
List of positive integer factors of 9073 that divides 9073 without a remainder.
1,43,211,9073
Factors of 9080
List of positive integer factors of 9080 that divides 9080 without a remainder.
1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080
Greatest Common Factor
We found the factors and prime factorization of 9073 and 9080. The biggest common factor number is the GCF number.
So the greatest common factor 9073 and 9080 is 1.
Also check out the Least Common Multiple of 9073 and 9080
(i) The GCF of 9073 and 9080 is associative
GCF of 9073 and 9080 = GCF of 9080 and 9073
1. What is the GCF of 9073 and 9080?
Answer: GCF of 9073 and 9080 is 1.
2. What are the Factors of 9073?
Answer: Factors of 9073 are 1, 43, 211, 9073. There are 4 integers that are factors of 9073. The greatest factor of 9073 is 9073.
3. What are the Factors of 9080?
Answer: Factors of 9080 are 1, 2, 4, 5, 8, 10, 20, 40, 227, 454, 908, 1135, 1816, 2270, 4540, 9080. There are 16 integers that are factors of 9080. The greatest factor of 9080 is 9080.
4. How to Find the GCF of 9073 and 9080?
Answer:
Greatest Common Factor of 9073 and 9080 = 1
Step 1: Find the prime factorization of 9073
9073 = 43 x 211
Step 2: Find the prime factorization of 9080
9080 = 2 x 2 x 2 x 5 x 227
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 9073 and 9080 is 1