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Bunuel
The Greatest Common Factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48

24*2 = 48
24*3 = 72

Hence, Answer must be (D) 24
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Bunuel
The Greatest Common Factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48

48 = (2)(2)(2)(2)(3)
72 = (2)(2)(2)(3)(3)

Prime factors in common = (2)(2)(2)(3) = 24

Answer: D

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We need to find The greatest common factor (GCF) of 48 and 72

Lets solve it using two methods

Method 1: Prime Factorization

48 = 3*16 = \(2^4 * 3^1\)
72 = 8*9 = \(2^3 * 3^2\)

To find the GCF take all the common terms and take their lowest power in all of the above.

=> GCF(48,72) = \(2^3 * 3^1\) = 24

So, Answer will be D

Method 2: Common Division Method

4 | 48, 72
-----------
6 | 12 , 18
------------
__| 2, 3

=> GCF = Product of Common factors = 4*6 = 24

So, Answer will be D
Hope it helps!

To learn more about LCM and GCD watch the following videos


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Bunuel
The Greatest Common Factor (GCF) of 48 and 72 is

A. 4
B. 6
C. 12
D. 24
E. 48

The largest factor of both 48 and 72 is 24, since 48/24 = 2 and 72/24 = 3.

Answer: D
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