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 8144, 8147 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8144 and 8147 is 1.
GCF(8144,8147) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8144
2 | 8144 |
2 | 4072 |
2 | 2036 |
2 | 1018 |
509 | 509 |
1 |
Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:
8144 = 24×5091
Prime Factorization of 8147
8147 | 8147 |
1 |
Prime factors of 8147 are 8147. Prime factorization of 8147 in exponential form is:
8147 = 81471
∴ So by taking common prime factors GCF of 8144 and 8147 is 1
Factors of 8144
List of positive integer factors of 8144 that divides 8144 without a remainder.
1,2,4,8,16,509,1018,2036,4072,8144
Factors of 8147
List of positive integer factors of 8147 that divides 8147 without a remainder.
1,8147
Greatest Common Factor
We found the factors and prime factorization of 8144 and 8147. The biggest common factor number is the GCF number.
So the greatest common factor 8144 and 8147 is 1.
Also check out the Least Common Multiple of 8144 and 8147
(i) The GCF of 8144 and 8147 is associative
GCF of 8144 and 8147 = GCF of 8147 and 8144
1. What is the GCF of 8144 and 8147?
Answer: GCF of 8144 and 8147 is 1.
2. What are the Factors of 8144?
Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.
3. What are the Factors of 8147?
Answer: Factors of 8147 are 1, 8147. There are 2 integers that are factors of 8147. The greatest factor of 8147 is 8147.
4. How to Find the GCF of 8144 and 8147?
Answer:
Greatest Common Factor of 8144 and 8147 = 1
Step 1: Find the prime factorization of 8144
8144 = 2 x 2 x 2 x 2 x 509
Step 2: Find the prime factorization of 8147
8147 = 8147
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 8144 and 8147 is 1