Question

What is the highest common factor of the numbers 30 and 132?

Answer 1

6

Explanation:

Prime Factorization then multiplication.

Answer 2

6

Explanation:

Step 1: Prime Factorization

Find the prime factors of each number:

- Prime factors of 30: 2, 3, 5

- Prime factors of 132: 2, 2, 3, 11

Step 2: Find Common Factors

The common factors are 2 and 3.

Step 3: Multiply Common Factors

Multiply the common factors together to find the HCF:

2 * 3 = 6

So, the highest common factor of 30 and 132 is 6.

Hope this helps! :)