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 8501, 8505 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8501 and 8505 is 1.
GCF(8501,8505) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8501
8501 | 8501 |
1 |
Prime factors of 8501 are 8501. Prime factorization of 8501 in exponential form is:
8501 = 85011
Prime Factorization of 8505
3 | 8505 |
3 | 2835 |
3 | 945 |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 8505 are 3.Prime factorization of 8505 in exponential form is:
8505 = 35×51×71
∴ So by taking common prime factors GCF of 8501 and 8505 is 1
Factors of 8501
List of positive integer factors of 8501 that divides 8501 without a remainder.
1,8501
Factors of 8505
List of positive integer factors of 8505 that divides 8505 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,81,105,135,189,243,315,405,567,945,1215,1701,2835,8505
Greatest Common Factor
We found the factors and prime factorization of 8501 and 8505. The biggest common factor number is the GCF number.
So the greatest common factor 8501 and 8505 is 1.
Also check out the Least Common Multiple of 8501 and 8505
(i) The GCF of 8501 and 8505 is associative
GCF of 8501 and 8505 = GCF of 8505 and 8501
1. What is the GCF of 8501 and 8505?
Answer: GCF of 8501 and 8505 is 1.
2. What are the Factors of 8501?
Answer: Factors of 8501 are 1, 8501. There are 2 integers that are factors of 8501. The greatest factor of 8501 is 8501.
3. What are the Factors of 8505?
Answer: Factors of 8505 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 81, 105, 135, 189, 243, 315, 405, 567, 945, 1215, 1701, 2835, 8505. There are 24 integers that are factors of 8505. The greatest factor of 8505 is 8505.
4. How to Find the GCF of 8501 and 8505?
Answer:
Greatest Common Factor of 8501 and 8505 = 1
Step 1: Find the prime factorization of 8501
8501 = 8501
Step 2: Find the prime factorization of 8505
8505 = 3 x 3 x 3 x 3 x 3 x 5 x 7
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 8501 and 8505 is 1