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 7173, 7180 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7173 and 7180 is 1.
GCF(7173,7180) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7173
3 | 7173 |
3 | 2391 |
797 | 797 |
1 |
Prime factors of 7173 are 3,797. Prime factorization of 7173 in exponential form is:
7173 = 32×7971
Prime Factorization of 7180
2 | 7180 |
2 | 3590 |
5 | 1795 |
359 | 359 |
1 |
Prime factors of 7180 are 2,5,359. Prime factorization of 7180 in exponential form is:
7180 = 22×51×3591
∴ So by taking common prime factors GCF of 7173 and 7180 is 1
Factors of 7173
List of positive integer factors of 7173 that divides 7173 without a remainder.
1,3,9,797,2391,7173
Factors of 7180
List of positive integer factors of 7180 that divides 7180 without a remainder.
1,2,4,5,10,20,359,718,1436,1795,3590,7180
Greatest Common Factor
We found the factors and prime factorization of 7173 and 7180. The biggest common factor number is the GCF number.
So the greatest common factor 7173 and 7180 is 1.
Also check out the Least Common Multiple of 7173 and 7180
(i) The GCF of 7173 and 7180 is associative
GCF of 7173 and 7180 = GCF of 7180 and 7173
1. What is the GCF of 7173 and 7180?
Answer: GCF of 7173 and 7180 is 1.
2. What are the Factors of 7173?
Answer: Factors of 7173 are 1, 3, 9, 797, 2391, 7173. There are 6 integers that are factors of 7173. The greatest factor of 7173 is 7173.
3. What are the Factors of 7180?
Answer: Factors of 7180 are 1, 2, 4, 5, 10, 20, 359, 718, 1436, 1795, 3590, 7180. There are 12 integers that are factors of 7180. The greatest factor of 7180 is 7180.
4. How to Find the GCF of 7173 and 7180?
Answer:
Greatest Common Factor of 7173 and 7180 = 1
Step 1: Find the prime factorization of 7173
7173 = 3 x 3 x 797
Step 2: Find the prime factorization of 7180
7180 = 2 x 2 x 5 x 359
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 7173 and 7180 is 1