Question

find the hcf of 64 and 208

Answer 1

Find the prime factorization of 64
64 = 2 × 2 × 2 × 2 × 2 × 2
Find the prime factorization of 208
208 = 2 × 2 × 2 × 2 × 13
To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 2 × 2
GCF = 16
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Answer 2

factors of 64= 2×2×2×2×2×2

factors of 208= 2×2×2×2×13

hcf [64,208]= 2^4=16