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 8145, 8153 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8145 and 8153 is 1.
GCF(8145,8153) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8145
3 | 8145 |
3 | 2715 |
5 | 905 |
181 | 181 |
1 |
Prime factors of 8145 are 3,5,181. Prime factorization of 8145 in exponential form is:
8145 = 32×51×1811
Prime Factorization of 8153
31 | 8153 |
263 | 263 |
1 |
Prime factors of 8153 are 31,263. Prime factorization of 8153 in exponential form is:
8153 = 311×2631
∴ So by taking common prime factors GCF of 8145 and 8153 is 1
Factors of 8145
List of positive integer factors of 8145 that divides 8145 without a remainder.
1,3,5,9,15,45,181,543,905,1629,2715,8145
Factors of 8153
List of positive integer factors of 8153 that divides 8153 without a remainder.
1,31,263,8153
Greatest Common Factor
We found the factors and prime factorization of 8145 and 8153. The biggest common factor number is the GCF number.
So the greatest common factor 8145 and 8153 is 1.
Also check out the Least Common Multiple of 8145 and 8153
(i) The GCF of 8145 and 8153 is associative
GCF of 8145 and 8153 = GCF of 8153 and 8145
1. What is the GCF of 8145 and 8153?
Answer: GCF of 8145 and 8153 is 1.
2. What are the Factors of 8145?
Answer: Factors of 8145 are 1, 3, 5, 9, 15, 45, 181, 543, 905, 1629, 2715, 8145. There are 12 integers that are factors of 8145. The greatest factor of 8145 is 8145.
3. What are the Factors of 8153?
Answer: Factors of 8153 are 1, 31, 263, 8153. There are 4 integers that are factors of 8153. The greatest factor of 8153 is 8153.
4. How to Find the GCF of 8145 and 8153?
Answer:
Greatest Common Factor of 8145 and 8153 = 1
Step 1: Find the prime factorization of 8145
8145 = 3 x 3 x 5 x 181
Step 2: Find the prime factorization of 8153
8153 = 31 x 263
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 8145 and 8153 is 1