What is the GCF (Greatest Common Factor) of 32 and 48?
Answer (3)
I d e n t i f y co mm o n f a c t or : 32 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 48 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 3 M u lt i pl y t h e co mm o n f a c t or : 2 ⋅ 2 ⋅ 2 ⋅ 2 = 16 A n s w er : T h e GCF o f 32 an d 48 i s 16.
32 = 2 5 48 = 2 4 ∗ 3 ( 32 ; 48 ) = 2 4 = 16
The GCF of 32 and 48 is 16. This is determined by finding the prime factorizations of both numbers and identifying the lowest powers of their common factors. The prime factorization of 32 is 2 5 , and that of 48 is 2 4 × 3 1 , making the GCF 2 4 = 16 .
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