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 8704, 8712 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8704 and 8712 is 8.
GCF(8704,8712) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8704
2 | 8704 |
2 | 4352 |
2 | 2176 |
2 | 1088 |
2 | 544 |
2 | 272 |
2 | 136 |
2 | 68 |
2 | 34 |
17 | 17 |
1 |
Prime factors of 8704 are 2,17. Prime factorization of 8704 in exponential form is:
8704 = 29×171
Prime Factorization of 8712
2 | 8712 |
2 | 4356 |
2 | 2178 |
3 | 1089 |
3 | 363 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 8712 are 2,3,11. Prime factorization of 8712 in exponential form is:
8712 = 23×32×112
∴ So by taking common prime factors GCF of 8704 and 8712 is 8
Factors of 8704
List of positive integer factors of 8704 that divides 8704 without a remainder.
1,2,4,8,16,17,32,34,64,68,128,136,256,272,512,544,1088,2176,4352,8704
Factors of 8712
List of positive integer factors of 8712 that divides 8712 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors and prime factorization of 8704 and 8712. The biggest common factor number is the GCF number.
So the greatest common factor 8704 and 8712 is 8.
Also check out the Least Common Multiple of 8704 and 8712
(i) The GCF of 8704 and 8712 is associative
GCF of 8704 and 8712 = GCF of 8712 and 8704
1. What is the GCF of 8704 and 8712?
Answer: GCF of 8704 and 8712 is 8.
2. What are the Factors of 8704?
Answer: Factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704. There are 20 integers that are factors of 8704. The greatest factor of 8704 is 8704.
3. What are the Factors of 8712?
Answer: Factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712. There are 36 integers that are factors of 8712. The greatest factor of 8712 is 8712.
4. How to Find the GCF of 8704 and 8712?
Answer:
Greatest Common Factor of 8704 and 8712 = 8
Step 1: Find the prime factorization of 8704
8704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17
Step 2: Find the prime factorization of 8712
8712 = 2 x 2 x 2 x 3 x 3 x 11 x 11
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 8704 and 8712 is 8