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 7168, 7176 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7168 and 7176 is 8.
GCF(7168,7176) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7168
2 | 7168 |
2 | 3584 |
2 | 1792 |
2 | 896 |
2 | 448 |
2 | 224 |
2 | 112 |
2 | 56 |
2 | 28 |
2 | 14 |
7 | 7 |
1 |
Prime factors of 7168 are 2,7. Prime factorization of 7168 in exponential form is:
7168 = 210×71
Prime Factorization of 7176
2 | 7176 |
2 | 3588 |
2 | 1794 |
3 | 897 |
13 | 299 |
23 | 23 |
1 |
Prime factors of 7176 are 2,3,13,23. Prime factorization of 7176 in exponential form is:
7176 = 23×31×131×231
∴ So by taking common prime factors GCF of 7168 and 7176 is 8
Factors of 7168
List of positive integer factors of 7168 that divides 7168 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1024,1792,3584,7168
Factors of 7176
List of positive integer factors of 7176 that divides 7176 without a remainder.
1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors and prime factorization of 7168 and 7176. The biggest common factor number is the GCF number.
So the greatest common factor 7168 and 7176 is 8.
Also check out the Least Common Multiple of 7168 and 7176
(i) The GCF of 7168 and 7176 is associative
GCF of 7168 and 7176 = GCF of 7176 and 7168
1. What is the GCF of 7168 and 7176?
Answer: GCF of 7168 and 7176 is 8.
2. What are the Factors of 7168?
Answer: Factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168. There are 22 integers that are factors of 7168. The greatest factor of 7168 is 7168.
3. What are the Factors of 7176?
Answer: Factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176. There are 32 integers that are factors of 7176. The greatest factor of 7176 is 7176.
4. How to Find the GCF of 7168 and 7176?
Answer:
Greatest Common Factor of 7168 and 7176 = 8
Step 1: Find the prime factorization of 7168
7168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Step 2: Find the prime factorization of 7176
7176 = 2 x 2 x 2 x 3 x 13 x 23
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 7168 and 7176 is 8