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 8505, 8512 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8505 and 8512 is 7.
GCF(8505,8512) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8505
3 | 8505 |
3 | 2835 |
3 | 945 |
3 | 315 |
3 | 105 |
5 | 35 |
7 | 7 |
1 |
Prime factors of 8505 are 3,5,7. Prime factorization of 8505 in exponential form is:
8505 = 35×51×71
Prime Factorization of 8512
2 | 8512 |
2 | 4256 |
2 | 2128 |
2 | 1064 |
2 | 532 |
2 | 266 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 8512 are 2,7,19. Prime factorization of 8512 in exponential form is:
8512 = 26×71×191
∴ So by taking common prime factors GCF of 8505 and 8512 is 7
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
Factors of 8512
List of positive integer factors of 8512 that divides 8512 without a remainder.
1,2,4,7,8,14,16,19,28,32,38,56,64,76,112,133,152,224,266,304,448,532,608,1064,1216,2128,4256,8512
Greatest Common Factor
We found the factors and prime factorization of 8505 and 8512. The biggest common factor number is the GCF number.
So the greatest common factor 8505 and 8512 is 7.
Also check out the Least Common Multiple of 8505 and 8512
(i) The GCF of 8505 and 8512 is associative
GCF of 8505 and 8512 = GCF of 8512 and 8505
1. What is the GCF of 8505 and 8512?
Answer: GCF of 8505 and 8512 is 7.
2. 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.
3. What are the Factors of 8512?
Answer: Factors of 8512 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 133, 152, 224, 266, 304, 448, 532, 608, 1064, 1216, 2128, 4256, 8512. There are 28 integers that are factors of 8512. The greatest factor of 8512 is 8512.
4. How to Find the GCF of 8505 and 8512?
Answer:
Greatest Common Factor of 8505 and 8512 = 7
Step 1: Find the prime factorization of 8505
8505 = 3 x 3 x 3 x 3 x 3 x 5 x 7
Step 2: Find the prime factorization of 8512
8512 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 7
Step 4: Therefore, the greatest common factor of 8505 and 8512 is 7