
To find the Highest Common Factor (HCF) of 36 and 84, we’ll use the prime factorization method:
🔹 Step 1: Prime factorization
36 = 2² × 3²
84 = 2² × 3 × 7
🔹 Step 2: Take the common prime factors with the lowest powers
Common factors: 2² and 3
So,
HCF=22×3=4×3=12\text{HCF} = 2² × 3 = 4 × 3 = 12
✅ Final Answer:
The HCF of 36 and 84 is 12.
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