For which pair is the greatest common factor 8?
2 and 4, 7 and 15
32 and 64, 56 and 72
What the right answer
To find the pair for which the greatest common factor (GCF) is 8, we need to determine the factors of each pair and see if there is any common factor that is equal to 8.
For the first pair, 2 and 4, let's find their factors:
Factors of 2: 1, 2
Factors of 4: 1, 2, 4
Since both numbers share a common factor of 2, but not 8, this pair does not have a GCF of 8.
Now, let's move on to the second pair, 32 and 64, and find their factors:
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 64: 1, 2, 4, 8, 16, 32, 64
This time, both numbers have a common factor of 8. Therefore, the GCF of 32 and 64 is 8.
For the last pair, 56 and 72, let's find their factors:
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Even though both numbers have a common factor of 8, they also have a higher common factor, which is 72. Therefore, the GCF of 56 and 72 is not 8.
In conclusion, the pair for which the greatest common factor is 8 is 32 and 64.