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 8645, 8653 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8645 and 8653 is 1.
GCF(8645,8653) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8645
5 | 8645 |
7 | 1729 |
13 | 247 |
19 | 19 |
1 |
Prime factors of 8645 are 5,7,13,19. Prime factorization of 8645 in exponential form is:
8645 = 51×71×131×191
Prime Factorization of 8653
17 | 8653 |
509 | 509 |
1 |
Prime factors of 8653 are 17,509. Prime factorization of 8653 in exponential form is:
8653 = 171×5091
∴ So by taking common prime factors GCF of 8645 and 8653 is 1
Factors of 8645
List of positive integer factors of 8645 that divides 8645 without a remainder.
1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Factors of 8653
List of positive integer factors of 8653 that divides 8653 without a remainder.
1,17,509,8653
Greatest Common Factor
We found the factors and prime factorization of 8645 and 8653. The biggest common factor number is the GCF number.
So the greatest common factor 8645 and 8653 is 1.
Also check out the Least Common Multiple of 8645 and 8653
(i) The GCF of 8645 and 8653 is associative
GCF of 8645 and 8653 = GCF of 8653 and 8645
1. What is the GCF of 8645 and 8653?
Answer: GCF of 8645 and 8653 is 1.
2. What are the Factors of 8645?
Answer: Factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645. There are 16 integers that are factors of 8645. The greatest factor of 8645 is 8645.
3. What are the Factors of 8653?
Answer: Factors of 8653 are 1, 17, 509, 8653. There are 4 integers that are factors of 8653. The greatest factor of 8653 is 8653.
4. How to Find the GCF of 8645 and 8653?
Answer:
Greatest Common Factor of 8645 and 8653 = 1
Step 1: Find the prime factorization of 8645
8645 = 5 x 7 x 13 x 19
Step 2: Find the prime factorization of 8653
8653 = 17 x 509
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 8645 and 8653 is 1