What is the greatest common factor of 54 and 36?

Akira Huang

Akira Huang

Answered question

2022-05-21

What is the greatest common factor of 54 and 36?

Answer & Explanation

Lavizzariym

Lavizzariym

Beginner2022-05-22Added 10 answers

Step 1
When working with HCF and/or LCM, write each number as the product of its ' factors. That will tell you everything you need to know about a number.
Look for all the common factors:
36 = 2 × 2 × 3 × 3 54 = 2 × 3 × 3 × 3 _ H C F = 2 × 3 × 3 = 18
The highest common factor is the product of all the common factors.
This is a very quick and effective method, especially if you are working with large numbers where you might not know all of the factors.
The product of the ' factors will tell you whether a number is a power, like a square or a cube.
You can also use the ' factors to determine all the other factors as well.
Carly Roy

Carly Roy

Beginner2022-05-23Added 4 answers

Step 1
Because
3 18 = 54
2 18 = 36
Also
The factors of 54:
1 , 2 , 3 , 6 , 9 , 18 , 27 , 54 - 1 , - 2 , - 3 , - 6 , - 9 , - 18 , - 27 , - 54
The factors of 36:
1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36 - 1 , - 2 , - 3 , - 4 , - 6 , - 9 , - 12 , - 18 , - 36
The greatest common factor of 54 and 36 = 18

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