How do you find the HCF of two numbers using their prime factorization?

To find the HCF (Highest Common Factor) of two numbers given in their prime factorization, we identify the common prime factors and take the lowest power of each. Step 1: Write down the prime factorization of the two numbers. First number (N₁): 2² × 3³ × 5² × 7¹ Second number (N₂): 2⁴ × 3⁴ × 5¹ × 7² × 13¹ Step 2: Identify the common prime factors and their lowest powers. For the prime factor 2: The powers are 2² in N₁ and $2^

How do you find the HCF of two numbers using their prime factorization?

To find the HCF (Highest Common Factor) of two numbers given in their prime factorization, we identify the common prime factors and take the lowest power of each. Step 1: Write down the prime factorization of the two numbers. First number (N₁): 2² × 3³ × 5² × 7¹ Second number (N₂): 2⁴ × 3⁴ × 5¹ × 7² × 13¹ Step 2: Identify the common prime factors and their lowest powers. For the prime factor 2: The powers are 2² in N₁ and $2^

Solved: How do you find the HCF of two numbers using their…

To find the HCF (Highest Common Factor) of two numbers given in their prime factorization, we identify the common prime factors and take the lowest power of each.

Write down the prime factorization of the two numbers.
First number ( $N_1$ ): $2^2 \times 3^3 \times 5^2 \times 7^1$
Second number ( $N_2$ ): $2^4 \times 3^4 \times 5^1 \times 7^2 \times 13^1$
Identify the common prime factors and their lowest powers.
- For the prime factor 2: The powers are $2^2$ in $N_1$ and $2^

How do you find the HCF of two numbers using their prime factorization?

Step-by-step solution

Write down the prime factorization of the two numbers.

Identify the common prime factors and their lowest powers.

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