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 8080, 8087 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8080 and 8087 is 1.
GCF(8080,8087) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8080
2 | 8080 |
2 | 4040 |
2 | 2020 |
2 | 1010 |
5 | 505 |
101 | 101 |
1 |
Prime factors of 8080 are 2,5,101. Prime factorization of 8080 in exponential form is:
8080 = 24×51×1011
Prime Factorization of 8087
8087 | 8087 |
1 |
Prime factors of 8087 are 8087. Prime factorization of 8087 in exponential form is:
8087 = 80871
∴ So by taking common prime factors GCF of 8080 and 8087 is 1
Factors of 8080
List of positive integer factors of 8080 that divides 8080 without a remainder.
1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080
Factors of 8087
List of positive integer factors of 8087 that divides 8087 without a remainder.
1,8087
Greatest Common Factor
We found the factors and prime factorization of 8080 and 8087. The biggest common factor number is the GCF number.
So the greatest common factor 8080 and 8087 is 1.
Also check out the Least Common Multiple of 8080 and 8087
(i) The GCF of 8080 and 8087 is associative
GCF of 8080 and 8087 = GCF of 8087 and 8080
1. What is the GCF of 8080 and 8087?
Answer: GCF of 8080 and 8087 is 1.
2. What are the Factors of 8080?
Answer: Factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080. There are 20 integers that are factors of 8080. The greatest factor of 8080 is 8080.
3. What are the Factors of 8087?
Answer: Factors of 8087 are 1, 8087. There are 2 integers that are factors of 8087. The greatest factor of 8087 is 8087.
4. How to Find the GCF of 8080 and 8087?
Answer:
Greatest Common Factor of 8080 and 8087 = 1
Step 1: Find the prime factorization of 8080
8080 = 2 x 2 x 2 x 2 x 5 x 101
Step 2: Find the prime factorization of 8087
8087 = 8087
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 8080 and 8087 is 1