First, find every one of the determinants of each number. Factors space the numbers that, choose 16 and also 24, can evenly it is in divided. The components of 16 room 1, 2, 4, 8, 16. The components of 24 space 1, 2, 3, 4, 6, 8, 12, 24.
Now, to find the greatest typical factor, we find the largest number that is top top both lists. This number is 8.
You are watching: What factors do 16 and 24 have in common
The greatest typical factor is the greatest aspect that divides both numbers. To uncover the greatest usual factor, very first list the prime components of every number.
18 = 2 * 3 * 3
24 = 2 * 2 * 2 * 3
18 and also 24 re-superstructure one 2 and one 3 in common. Us multiply them to acquire the GCF, for this reason 2 * 3 = 6 is the GCF that 18 and also 24.
What is the greatest common factor of
To make things easier, note 6930 is divisible through 30:
6930 = 231 * 30 = 3 * 77 * 3 * 2 * 5 = 3 * 7 * 11 * 3 * 2 * 5 = 2 * 32 * 5 * 7 * 11
288 = 2 * 144 = 2 * 12 * 12 = 2 * 2 * 2 * 3 * 2 * 2 * 3 = 25 * 32
Consider each of this "next to each other":
25 * 32
2 * 32 * 5 * 7 * 11
Each shares determinants of 2 and 3. In the instance of 2, castle share 1 factor. In the instance of 3, castle share 2 factors. Therefore, their greatest typical factor is: 2 * 32 = 2 * 9 = 18
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