The GCF is 4.
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Yes and the highest common factor is 32
Well, let's take a look at these numbers together. The highest common factor of 16, 32, and 40 is 8. You see, we can find this by finding the largest number that divides evenly into all three of these numbers. Just like painting a happy little tree, finding the highest common factor is about looking for the common ground that brings everything together beautifully.
To find the greatest common factor of two numbers, you first need to break them down into their prime factors. In this case, 32 and 24 can be split up as follows: 32 = 2x2x2x2x2 24 = 2x2x2x3 The next step is to identify the common factors. In this case, both numbers have three 2s as prime factors. Therefore, to find the HCF, you simply multiply these factors together: 2x2x2 = 8 Thus, 8 is the highest common factor of 32 and 24.
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, and 256. The common factors are 1, 2, 4, 8, 16, and 32. Therefore, the greatest common factor is 32.
117. First, find the prime factorization for 234 and for 585. It may be helpful to include all prime numbers up to the highest factor in the listed factorization, even if a particular prime number has to be listed as to the zero power: 234 = 2 x 32 x 13 = 21 x 32 x 50 x 70 x 110 x 131 585 = 32 x 5 x 13 = 20 x 32 x 51 x 70 x 110 x 131 Then, to find the greatest common divisor, take each factor the fewest number of times that it appears in either factorization. So the greatest common factor will include 20, 32, 50, 70, 110, and 131. The greatest common factor is thus 20 x 32 x 50 x 70 x 110 x 131 = 117.