How to find the HCF of two numbers given 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. The prime factors common to both numbers are 2, 3, 5, and 7. The

How to find the HCF of two numbers given 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. The prime factors common to both numbers are 2, 3, 5, and 7. The

Solved: How to find the HCF of two numbers given 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.
The prime factors common to both numbers are 2, 3, 5, and 7. The

How to find the HCF of two numbers given their prime factorization?

Step-by-step solution

Write down the prime factorization of the two numbers.

Identify the common prime factors.

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