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 8086, 8088 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8086 and 8088 is 2.
GCF(8086,8088) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8086
2 | 8086 |
13 | 4043 |
311 | 311 |
1 |
Prime factors of 8086 are 2,13,311. Prime factorization of 8086 in exponential form is:
8086 = 21×131×3111
Prime Factorization of 8088
2 | 8088 |
2 | 4044 |
2 | 2022 |
3 | 1011 |
337 | 337 |
1 |
Prime factors of 8088 are 2,3,337. Prime factorization of 8088 in exponential form is:
8088 = 23×31×3371
∴ So by taking common prime factors GCF of 8086 and 8088 is 2
Factors of 8086
List of positive integer factors of 8086 that divides 8086 without a remainder.
1,2,13,26,311,622,4043,8086
Factors of 8088
List of positive integer factors of 8088 that divides 8088 without a remainder.
1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088
Greatest Common Factor
We found the factors and prime factorization of 8086 and 8088. The biggest common factor number is the GCF number.
So the greatest common factor 8086 and 8088 is 2.
Also check out the Least Common Multiple of 8086 and 8088
(i) The GCF of 8086 and 8088 is associative
GCF of 8086 and 8088 = GCF of 8088 and 8086
1. What is the GCF of 8086 and 8088?
Answer: GCF of 8086 and 8088 is 2.
2. What are the Factors of 8086?
Answer: Factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086. There are 8 integers that are factors of 8086. The greatest factor of 8086 is 8086.
3. What are the Factors of 8088?
Answer: Factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088. There are 16 integers that are factors of 8088. The greatest factor of 8088 is 8088.
4. How to Find the GCF of 8086 and 8088?
Answer:
Greatest Common Factor of 8086 and 8088 = 2
Step 1: Find the prime factorization of 8086
8086 = 2 x 13 x 311
Step 2: Find the prime factorization of 8088
8088 = 2 x 2 x 2 x 3 x 337
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 8086 and 8088 is 2