Question

drag each pair of numbers to show if their greatest common factor (gcf) is less than 8, equal to 8, or greater than 8. 24 and 36 16 and 24 12 and 18 3 and 6 12 and 32 2 and 4 gcf is less than 8. gcf is equal to 8. gcf is greater than 8. drag and drop items here drag and drop items here drag and drop items here

Explanation:

Step1: Calculate GCF of 24 & 36

Prime factors: $24=2^3×3$, $36=2^2×3^2$. GCF=$2^2×3=12$ (greater than 8)

Step2: Calculate GCF of 16 & 24

Prime factors: $16=2^4$, $24=2^3×3$. GCF=$2^3=8$ (equal to 8)

Step3: Calculate GCF of 12 & 18

Prime factors: $12=2^2×3$, $18=2×3^2$. GCF=$2×3=6$ (less than 8)

Step4: Calculate GCF of 3 & 6

Prime factors: $3=3$, $6=2×3$. GCF=$3$ (less than 8)

Step5: Calculate GCF of 12 & 32

Prime factors: $12=2^2×3$, $32=2^5$. GCF=$2^2=4$ (less than 8)

Step6: Calculate GCF of 2 & 4

Prime factors: $2=2$, $4=2^2$. GCF=$2$ (less than 8)

Answer:

• GCF is less than 8: 12 and 18, 3 and 6, 12 and 32, 2 and 4
• GCF is equal to 8: 16 and 24
• GCF is greater than 8: 24 and 36