Question

Find the Greatest Common Factor (GCF): 24 and 30
please show me the steps thank you

Answer 1

24)30( 1

24

____

6 )24( 4

24

___

0

___

Hence , the HCF or GCF is 6.

Answer 2

Answer:

Greatest common factor (GCF) of 24 and 30 is 6.

Step-by-step explanation:

Step-1: Prime Factorization of 24

Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:

24 = 23 × 31

Step-2: Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 21 × 31 × 51

Step-3: Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12

Step-4: Factors of 30

List of positive integer factors of 30 that divides 24 without a remainder.

1, 2, 3, 5, 6, 10, 15

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24 and 30. The biggest common factor number is the GCF number.

So the greatest common factor 24 and 30 is 6.

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