Find the Greatest Common Factor of 160 and 96
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96
160
32
16
The greatest common factor of 160 and 96 is 32.
its not a option
To find the greatest common factor (GCF) of 160 and 96, let's list all the factors of each number and find the largest number they have in common.
Factors of 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
From the lists, we can see that the largest number that appears in both lists is 32.
Therefore, the greatest common factor of 160 and 96 is 32.
To find the Greatest Common Factor (GCF) of 160 and 96, you can use a method called factorization or a method using prime factorization.
Factorization:
1. List down all the factors of both numbers.
The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.
2. Compare the two sets of factors and find the largest common factor in both lists.
The largest common factor (GCF) of 160 and 96 is 32.
Prime Factorization:
1. Write both numbers as a product of their prime factors.
160 = 2^5 * 5
96 = 2^5 * 3
2. Identify the common prime factors and take the lowest power of each common factor.
The common prime factor between 160 and 96 is 2 raised to the power of 5, which is 32.
There are no other common prime factors.
3. The resulting number, 32, is the Greatest Common Factor (GCF) of 160 and 96.
Therefore, the Greatest Common Factor of 160 and 96 is 32.