Find the HCF of the following by long division method
a. 144 and 252
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Answer:
The GCF of 144 and 252 is 36.
Steps to find GCF
Find the prime factorization of 144
144 = 2 × 2 × 2 × 2 × 3 × 3
Find the prime factorization of 252
252 = 2 × 2 × 3 × 3 × 7
To find the GCF, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3 × 3
GCF = 36
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