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, 7175 i.e. 7 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7168 and 7175 is 7.
GCF(7168,7175) = 7
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 7175
5 | 7175 |
5 | 1435 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 7175 are 5,7,41. Prime factorization of 7175 in exponential form is:
7175 = 52×71×411
∴ So by taking common prime factors GCF of 7168 and 7175 is 7
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 7175
List of positive integer factors of 7175 that divides 7175 without a remainder.
1,5,7,25,35,41,175,205,287,1025,1435,7175
Greatest Common Factor
We found the factors and prime factorization of 7168 and 7175. The biggest common factor number is the GCF number.
So the greatest common factor 7168 and 7175 is 7.
Also check out the Least Common Multiple of 7168 and 7175
(i) The GCF of 7168 and 7175 is associative
GCF of 7168 and 7175 = GCF of 7175 and 7168
1. What is the GCF of 7168 and 7175?
Answer: GCF of 7168 and 7175 is 7.
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 7175?
Answer: Factors of 7175 are 1, 5, 7, 25, 35, 41, 175, 205, 287, 1025, 1435, 7175. There are 12 integers that are factors of 7175. The greatest factor of 7175 is 7175.
4. How to Find the GCF of 7168 and 7175?
Answer:
Greatest Common Factor of 7168 and 7175 = 7
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 7175
7175 = 5 x 5 x 7 x 41
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 7168 and 7175 is 7