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 8069, 8072 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8069 and 8072 is 1.
GCF(8069,8072) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8069
8069 | 8069 |
1 |
Prime factors of 8069 are 8069. Prime factorization of 8069 in exponential form is:
8069 = 80691
Prime Factorization of 8072
2 | 8072 |
2 | 4036 |
2 | 2018 |
1009 | 1009 |
1 |
Prime factors of 8072 are 2.Prime factorization of 8072 in exponential form is:
8072 = 23×10091
∴ So by taking common prime factors GCF of 8069 and 8072 is 1
Factors of 8069
List of positive integer factors of 8069 that divides 8069 without a remainder.
1,8069
Factors of 8072
List of positive integer factors of 8072 that divides 8072 without a remainder.
1,2,4,8,1009,2018,4036,8072
Greatest Common Factor
We found the factors and prime factorization of 8069 and 8072. The biggest common factor number is the GCF number.
So the greatest common factor 8069 and 8072 is 1.
Also check out the Least Common Multiple of 8069 and 8072
(i) The GCF of 8069 and 8072 is associative
GCF of 8069 and 8072 = GCF of 8072 and 8069
1. What is the GCF of 8069 and 8072?
Answer: GCF of 8069 and 8072 is 1.
2. What are the Factors of 8069?
Answer: Factors of 8069 are 1, 8069. There are 2 integers that are factors of 8069. The greatest factor of 8069 is 8069.
3. What are the Factors of 8072?
Answer: Factors of 8072 are 1, 2, 4, 8, 1009, 2018, 4036, 8072. There are 8 integers that are factors of 8072. The greatest factor of 8072 is 8072.
4. How to Find the GCF of 8069 and 8072?
Answer:
Greatest Common Factor of 8069 and 8072 = 1
Step 1: Find the prime factorization of 8069
8069 = 8069
Step 2: Find the prime factorization of 8072
8072 = 2 x 2 x 2 x 1009
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 8069 and 8072 is 1