GCF of 140 and 160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Want to know what the GCF of 140 and 160 is? We will not only show you the answer but will also teach you two different methods through which you can easily find the greatest common factor of 140 and 160. Otherwise, you can utilise our handy GCF Calculator tool to quickly get the result.
Detailed Solution to Calculate GCF of 140, 160 using Factoring
In this method, we have to list the factors of 140 and 160 separately and then select the highest number that appears in both lists. This will be your greatest common factor.
The factors of 140 are 1 , 2 , 4 , 5 , 7 , 10 , 14 , 20 , 28 , 35 , 70 , and 140
The factors of 160 are 1 , 2 , 4 , 5 , 8 , 10 , 16 , 20 , 32 , 40 , 80 , and 160
As you can see from the aforementioned lists, the largest number that is present in both lists is 20. Therefore, we can determine that the GCF of 140 and 160 is 20.
Greatest Common Factor of 140, 160 with Prime Factorization
This is prime factorization. Essentially, you have to divide both 140 and 160 with the same prime number and keep going until the numbers can no longer be divided by the same prime number. At that point, you must stop the process and multiply the prime numbers on the left side. The result will be the greatest common factor.
| 2 | 140, 160 |
| 2 | 70, 80 |
| 5 | 35, 40 |
| 7, 8 |
From the picture, we can see that 7 and 8 cannot be divided by the same number again. So, all we have to do is now multiply the prime numbers on the left.
2 x 2 x 5 = 20
Hence, the GCF of 140 and 160 is 20.
Find the GCF of 140 and 160
Given numbers are 140 and 160
To find the greatest common factor of 140 and 160
The GCF of 140 and 160 is 20.
FAQs on GCF of 140 and 160
1. What are the LCM and GCF of 140 and 160?
The LCM and GCF of 140 and 160 are 1120 and 20.
2. How to get the GCF of 140 and 160?
The GCF of 140 and 160 can be calculated by finding the factors of both numbers and identifying the highest common factor in both.
3. What are the Methods to Find GCF of 140, 160?
The 2 different methods to find the greatest common factor of 140 and 160 are prime factorization and factors of both numbers.