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, 8560 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8552 and 8560 is 8.
GCF(8552,8560) = 8
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 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
∴ So by taking common prime factors GCF of 8552 and 8560 is 8
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 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
Greatest Common Factor
We found the factors and prime factorization of 8552 and 8560. The biggest common factor number is the GCF number.
So the greatest common factor 8552 and 8560 is 8.
Also check out the Least Common Multiple of 8552 and 8560
(i) The GCF of 8552 and 8560 is associative
GCF of 8552 and 8560 = GCF of 8560 and 8552
1. What is the GCF of 8552 and 8560?
Answer: GCF of 8552 and 8560 is 8.
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 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.
4. How to Find the GCF of 8552 and 8560?
Answer:
Greatest Common Factor of 8552 and 8560 = 8
Step 1: Find the prime factorization of 8552
8552 = 2 x 2 x 2 x 1069
Step 2: Find the prime factorization of 8560
8560 = 2 x 2 x 2 x 2 x 5 x 107
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 8552 and 8560 is 8