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 8552, 8559 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8552 and 8559 is 1.
GCF(8552,8559) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8552
2 | 8552 |
2 | 4276 |
2 | 2138 |
1069 | 1069 |
1 |
Prime factors of 8552 are 2,1069. Prime factorization of 8552 in exponential form is:
8552 = 23×10691
Prime Factorization of 8559
3 | 8559 |
3 | 2853 |
3 | 951 |
317 | 317 |
1 |
Prime factors of 8559 are 3,317. Prime factorization of 8559 in exponential form is:
8559 = 33×3171
∴ So by taking common prime factors GCF of 8552 and 8559 is 1
Factors of 8552
List of positive integer factors of 8552 that divides 8552 without a remainder.
1,2,4,8,1069,2138,4276,8552
Factors of 8559
List of positive integer factors of 8559 that divides 8559 without a remainder.
1,3,9,27,317,951,2853,8559
Greatest Common Factor
We found the factors and prime factorization of 8552 and 8559. The biggest common factor number is the GCF number.
So the greatest common factor 8552 and 8559 is 1.
Also check out the Least Common Multiple of 8552 and 8559
(i) The GCF of 8552 and 8559 is associative
GCF of 8552 and 8559 = GCF of 8559 and 8552
1. What is the GCF of 8552 and 8559?
Answer: GCF of 8552 and 8559 is 1.
2. What are the Factors of 8552?
Answer: Factors of 8552 are 1, 2, 4, 8, 1069, 2138, 4276, 8552. There are 8 integers that are factors of 8552. The greatest factor of 8552 is 8552.
3. What are the Factors of 8559?
Answer: Factors of 8559 are 1, 3, 9, 27, 317, 951, 2853, 8559. There are 8 integers that are factors of 8559. The greatest factor of 8559 is 8559.
4. How to Find the GCF of 8552 and 8559?
Answer:
Greatest Common Factor of 8552 and 8559 = 1
Step 1: Find the prime factorization of 8552
8552 = 2 x 2 x 2 x 1069
Step 2: Find the prime factorization of 8559
8559 = 3 x 3 x 3 x 317
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 8552 and 8559 is 1