Step-by-step explanation:

the GCF of 18 and 42 is 6

why?

How to find the GCF of 18 and 42?

Step-1: Prime Factorization of 18

Prime factors of 18 are 2, 3. Prime factorization of 18 in exponential form is:  

18 = 21 × 32

Step-2: Prime Factorization of 42

Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:  

42 = 21 × 31 × 71

Step-3: Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.  

1, 2, 3, 6, 9

Step-4: Factors of 42

List of positive integer factors of 42 that divides 18 without a remainder.  

1, 2, 3, 6, 7, 14, 21

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18 and 42. The biggest common factor number is the GCF number.

So the greatest common factor 18 and 42 is 6

Using Continuous Division. Find the GCF of 18 and 42.

SOLUTION:

• Find the Continuous Division of 18 and 42

(In Brainly app View)

(In Brainly website View)

• Multiply It:

"Thus the Greatest Common Factor of 18 and 42 using Continuous Division is:"

6

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