You are watching: What is the gcf of 18 and 24
First, find every one of the determinants of every number. Factors space the number that, choose 16 and also 24, have the right to evenly be divided. The factors of 16 room 1, 2, 4, 8, 16. The factors of 24 space 1, 2, 3, 4, 6, 8, 12, 24.
Now, to discover the greatest typical factor, we find the biggest number the is top top both lists. This number is 8.
The greatest common factor is the greatest variable that divides both numbers. To discover the greatest typical factor, an initial list the prime determinants of every number.
18 = 2 * 3 * 3
24 = 2 * 2 * 2 * 3
18 and also 24 share one 2 and one 3 in common. Us multiply lock to obtain the GCF, so 2 * 3 = 6 is the GCF that 18 and 24.
What is the greatest typical factor of
To make points easier, note 6930 is divisible by 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 these "next to each other":
25 * 32
2 * 32 * 5 * 7 * 11
Each shares determinants of 2 and 3. In the situation of 2, castle share 1 factor. In the situation of 3, castle share 2 factors. Therefore, their greatest common factor is: 2 * 32 = 2 * 9 = 18
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