Question

drag each pair of numbers to show if their greatest common factor (gcf) is less than 5, equal to 5, or greater than 5. 15 and 20 3 and 20 20 and 30 25 and 30 12 and 30 6 and 33 gcf is less than 5. gcf is equal to 5. gcf is greater than 5.

Explanation:

Step1: Calculate GCF of 15&20

Factors of 15: 1,3,5,15; Factors of 20:1,2,4,5,10,20 → GCF=5

Step2: Calculate GCF of 3&20

Factors of 3:1,3; Factors of 20:1,2,4,5,10,20 → GCF=1

Step3: Calculate GCF of 20&30

Factors of 20:1,2,4,5,10,20; Factors of 30:1,2,3,5,6,10,15,30 → GCF=10

Step4: Calculate GCF of 25&30

Factors of 25:1,5,25; Factors of 30:1,2,3,5,6,10,15,30 → GCF=5

Step5: Calculate GCF of 12&30

Factors of 12:1,2,3,4,6,12; Factors of 30:1,2,3,5,6,10,15,30 → GCF=6

Step6: Calculate GCF of 6&33

Factors of 6:1,2,3,6; Factors of 33:1,3,11,33 → GCF=3

Step7: Classify pairs

Group by GCF value ranges.

Answer:

GCF is less than 5: 3 and 20, 6 and 33
GCF is equal to 5: 15 and 20, 25 and 30
GCF is greater than 5: 20 and 30, 12 and 30