Question

What is the GCF of 30 and 54

Answer 1

the GCF of 30 and 54 is 6

Explanation:

The greatest common factor (GCF) of two numbers can be found using the following steps:

1. List the prime factorization of both numbers.
2. Identify the common factors among the lists.
3. Multiply the common factors to find the GCF.

For 30 and 54:

Prime factorization:

`\sf:\implies{30 = 2 * 3 * 5}`

`\sf:\implies{54 = 2 * 3 * 3 * 3}`

Common factors:

`\sf:\implies{2 \: and \: 3 }`

Multiply the common factors:

`\sf:\implies{GCF = 2 * 3 = 6}`

Therefore, the GCF of 30 and 54 is 6.

Answer 2

Answer: 6

Explanation:

GCF is the greatest common factor of both values. First, we will list all factors of both numbers. Then, we will find the largest number that overlaps between both.

30 ➜ 1, 2, 3, 5, 6, 10, 15 and 30

54 ➜ 1, 2, 3, 6, 9, 18, 27 and 54

The greatest common factor (GCF) is 6.