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 8560, 8561 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8560 and 8561 is 1.
GCF(8560,8561) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8560
2 | 8560 |
2 | 4280 |
2 | 2140 |
2 | 1070 |
5 | 535 |
107 | 107 |
1 |
Prime factors of 8560 are 2,5,107. Prime factorization of 8560 in exponential form is:
8560 = 24×51×1071
Prime Factorization of 8561
7 | 8561 |
1223 | 1223 |
1 |
Prime factors of 8561 are 7,1223. Prime factorization of 8561 in exponential form is:
8561 = 71×12231
∴ So by taking common prime factors GCF of 8560 and 8561 is 1
Factors of 8560
List of positive integer factors of 8560 that divides 8560 without a remainder.
1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560
Factors of 8561
List of positive integer factors of 8561 that divides 8561 without a remainder.
1,7,1223,8561
Greatest Common Factor
We found the factors and prime factorization of 8560 and 8561. The biggest common factor number is the GCF number.
So the greatest common factor 8560 and 8561 is 1.
Also check out the Least Common Multiple of 8560 and 8561
(i) The GCF of 8560 and 8561 is associative
GCF of 8560 and 8561 = GCF of 8561 and 8560
1. What is the GCF of 8560 and 8561?
Answer: GCF of 8560 and 8561 is 1.
2. What are the Factors of 8560?
Answer: Factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560. There are 20 integers that are factors of 8560. The greatest factor of 8560 is 8560.
3. What are the Factors of 8561?
Answer: Factors of 8561 are 1, 7, 1223, 8561. There are 4 integers that are factors of 8561. The greatest factor of 8561 is 8561.
4. How to Find the GCF of 8560 and 8561?
Answer:
Greatest Common Factor of 8560 and 8561 = 1
Step 1: Find the prime factorization of 8560
8560 = 2 x 2 x 2 x 2 x 5 x 107
Step 2: Find the prime factorization of 8561
8561 = 7 x 1223
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 8560 and 8561 is 1