# What Is The Greatest Common Factor Of 24 And 90?

6 is the g.c.f
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12
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Its 6
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6 is the greatest or highest common factor for 24 and 90

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Factor each number into its prime factors

24 = 2 x 2 x 2 x 3                                          90 =2 x 3 x 3 x 5

Take the most factors that are common to both factorization a and multiply

2 x 3 = 6    ANSWER

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24= 2^3 * 3
90= 2* 3^2 * 5

HCF= 2*3=6
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6 is the greatest common factor of 24 & 90.
the way of find it is as:

First take small no divide biger by it take the remainder(non zero) and divide the smaller by the remainder.
Keep on doing this un till remainder becomes zero .take the divident as greatest common factor.
ex: 90/24==remainder 18,
24/18==remainder 6,
18/6==remainder 0,
g.c.f of 24,90 is 6.
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Anonymous commented
never knew this method. good answer!
Factors of 24 = 2*2*2*3
Factors of 90 = 2*3*3*5
GCF of 24 and 90 is 6
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The answer is 6 because the number occurs in both lists.

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