Are you looking for a way to calculate the greatest common factor of 172, 8172 ? Well, you’re in luck! In this article, we will be showing you how to use two different methods to find the GCF of 172, 8172. We also provide a free GCF of Two or More Numbers Calculator to obtain instant results.
Given numbers are 172, 8172
The greatest common factor of 172, 8172 can be found by using the following 2 different methods.
The GCF of 172, 8172 is 4.
Prime factorization is basically division by prime numbers only. Keep dividing all numbers by the same prime number, until the numbers can no longer be divided by a single prime number. Then, multiply all the prime numbers that are on the left side.
2 | 172, 8172 |
2 | 86, 4086 |
43, 2043 |
∴ Thus, the GCF of given numbers is 2 x 2 = 4
The common factor method requires listing down all the factors of 172,8172 that divide each of these numbers without leaving a remainder. To begin, let us list down the factors
list down the factors of 172
1,2,4,43,86,172
list down the factors of 8172
1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172
Greatest Common Factor
Once you have listed down the factors, all you have to do is look for the highest factor that appears in all the three aforementioned lists. The greatest number that we can see in all lists is 4 . Therefore, the GCF of 172,8172 is 4
1. What is the GCF of 172, 8172 ?
Answer: GCF of 172, 8172 is 4.
2. How to calculate the GCF of 172, 8172 ?
Answer: You can use two different methods: listing down the factors, and prime factorization. If you want to use the listing method, then simply write down all the factors of 172, 8172. Then, select the greatest number that appears in lists. From this, you will see that the GCF is 4. Next, you can also use the prime factorization method to divide the numbers by prime numbers. Then, multiply the prime numbers on the side to get your answer, which is 4.