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, 7172 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7168 and 7172 is 4.
GCF(7168,7172) = 4
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 7172
2 | 7172 |
2 | 3586 |
11 | 1793 |
163 | 163 |
1 |
Prime factors of 7172 are 2,11,163. Prime factorization of 7172 in exponential form is:
7172 = 22×111×1631
∴ So by taking common prime factors GCF of 7168 and 7172 is 4
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 7172
List of positive integer factors of 7172 that divides 7172 without a remainder.
1,2,4,11,22,44,163,326,652,1793,3586,7172
Greatest Common Factor
We found the factors and prime factorization of 7168 and 7172. The biggest common factor number is the GCF number.
So the greatest common factor 7168 and 7172 is 4.
Also check out the Least Common Multiple of 7168 and 7172
(i) The GCF of 7168 and 7172 is associative
GCF of 7168 and 7172 = GCF of 7172 and 7168
1. What is the GCF of 7168 and 7172?
Answer: GCF of 7168 and 7172 is 4.
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 7172?
Answer: Factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172. There are 12 integers that are factors of 7172. The greatest factor of 7172 is 7172.
4. How to Find the GCF of 7168 and 7172?
Answer:
Greatest Common Factor of 7168 and 7172 = 4
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 7172
7172 = 2 x 2 x 11 x 163
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 7168 and 7172 is 4