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 9076, 9080 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9076 and 9080 is 4.
GCF(9076,9080) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9076
2 | 9076 |
2 | 4538 |
2269 | 2269 |
1 |
Prime factors of 9076 are 2,2269. Prime factorization of 9076 in exponential form is:
9076 = 22×22691
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 9076 and 9080 is 4
Factors of 9076
List of positive integer factors of 9076 that divides 9076 without a remainder.
1,2,4,2269,4538,9076
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 9076 and 9080. The biggest common factor number is the GCF number.
So the greatest common factor 9076 and 9080 is 4.
Also check out the Least Common Multiple of 9076 and 9080
(i) The GCF of 9076 and 9080 is associative
GCF of 9076 and 9080 = GCF of 9080 and 9076
1. What is the GCF of 9076 and 9080?
Answer: GCF of 9076 and 9080 is 4.
2. What are the Factors of 9076?
Answer: Factors of 9076 are 1, 2, 4, 2269, 4538, 9076. There are 6 integers that are factors of 9076. The greatest factor of 9076 is 9076.
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 9076 and 9080?
Answer:
Greatest Common Factor of 9076 and 9080 = 4
Step 1: Find the prime factorization of 9076
9076 = 2 x 2 x 2269
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 = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 9076 and 9080 is 4