Question

greatest common factor - item 9425
drag each pair of numbers to show if their greatest common factor (gcf) is less than 4, equal to 4, or greater than 4.
6 and 20
2 and 3
6 and 24
3 and 4
12 and 24
12 and 16
gcf is less than 4.
drag and
gcf is equal to 4.
drag and
gcf is greater than 4
drag and

Explanation:

Step1: Find GCF of 6 and 20

Factors of 6: \(1, 2, 3, 6\); Factors of 20: \(1, 2, 4, 5, 10, 20\). Common factors: \(1, 2\). GCF = \(2\) (less than 4).

Step2: Find GCF of 2 and 3

Factors of 2: \(1, 2\); Factors of 3: \(1, 3\). Common factor: \(1\). GCF = \(1\) (less than 4).

Step3: Find GCF of 6 and 24

Factors of 6: \(1, 2, 3, 6\); Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\). Common factors: \(1, 2, 3, 6\). GCF = \(6\) (greater than 4).

Step4: Find GCF of 3 and 4

Factors of 3: \(1, 3\); Factors of 4: \(1, 2, 4\). Common factor: \(1\). GCF = \(1\) (less than 4).

Step5: Find GCF of 12 and 24

Factors of 12: \(1, 2, 3, 4, 6, 12\); Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\). Common factors: \(1, 2, 3, 4, 6, 12\). GCF = \(12\) (greater than 4).

Step6: Find GCF of 12 and 16

Factors of 12: \(1, 2, 3, 4, 6, 12\); Factors of 16: \(1, 2, 4, 8, 16\). Common factors: \(1, 2, 4\). GCF = \(4\) (equal to 4).

Answer:

• GCF is less than 4: 6 and 20, 2 and 3, 3 and 4
• GCF is equal to 4: 12 and 16
• GCF is greater than 4: 6 and 24, 12 and 24