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 8064, 8071 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8064 and 8071 is 7.
GCF(8064,8071) = 7
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8064
2 | 8064 |
2 | 4032 |
2 | 2016 |
2 | 1008 |
2 | 504 |
2 | 252 |
2 | 126 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 8064 are 2,3,7. Prime factorization of 8064 in exponential form is:
8064 = 27×32×71
Prime Factorization of 8071
7 | 8071 |
1153 | 1153 |
1 |
Prime factors of 8071 are 7,1153. Prime factorization of 8071 in exponential form is:
8071 = 71×11531
∴ So by taking common prime factors GCF of 8064 and 8071 is 7
Factors of 8064
List of positive integer factors of 8064 that divides 8064 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,64,72,84,96,112,126,128,144,168,192,224,252,288,336,384,448,504,576,672,896,1008,1152,1344,2016,2688,4032,8064
Factors of 8071
List of positive integer factors of 8071 that divides 8071 without a remainder.
1,7,1153,8071
Greatest Common Factor
We found the factors and prime factorization of 8064 and 8071. The biggest common factor number is the GCF number.
So the greatest common factor 8064 and 8071 is 7.
Also check out the Least Common Multiple of 8064 and 8071
(i) The GCF of 8064 and 8071 is associative
GCF of 8064 and 8071 = GCF of 8071 and 8064
1. What is the GCF of 8064 and 8071?
Answer: GCF of 8064 and 8071 is 7.
2. What are the Factors of 8064?
Answer: Factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064. There are 48 integers that are factors of 8064. The greatest factor of 8064 is 8064.
3. What are the Factors of 8071?
Answer: Factors of 8071 are 1, 7, 1153, 8071. There are 4 integers that are factors of 8071. The greatest factor of 8071 is 8071.
4. How to Find the GCF of 8064 and 8071?
Answer:
Greatest Common Factor of 8064 and 8071 = 7
Step 1: Find the prime factorization of 8064
8064 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7
Step 2: Find the prime factorization of 8071
8071 = 7 x 1153
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 8064 and 8071 is 7