8 grade maths
What is the GCF of 24 and 48?
What is the GCF of 24 and 48?
1 Answer
Askiitians Tutor Team
To find the Greatest Common Factor (GCF) of 24 and 48, follow these steps:
Step 1: Find the prime factorization of each number.
For 24: 24 = 2 × 2 × 2 × 3 or 24 = 2³ × 3
For 48: 48 = 2 × 2 × 2 × 2 × 3 or 48 = 2⁴ × 3
Step 2: Identify the common factors.
The prime factors common to both 24 and 48 are 2³ and 3.
Step 3: Multiply the common factors.
GCF = 2³ × 3 = 8 × 3 = 24
So, the GCF of 24 and 48 is 24.
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