6 — Greatest Common Factor

Greatest Common Factor

Solution & Explanation · ID: 7DAA2C28

Question

Find the GCF of 6 and 9.

Hint

List all factors of both numbers and find the largest one they share.

Concept

The Greatest Common Factor (GCF) is the largest number that divides evenly into all given numbers. We can find it by listing factors or using prime factorization.

Show Answer

3

Show Solution
1

List all factors of 6: 1, 2, 3, 6

2

List all factors of 9: 1, 3, 9

3

Find common factors: 1, 3

4

The greatest common factor is 3

Two columns showing factors. Left column labeled '6:' lists 1, 2, 3, 6. Right column labeled '9:' lists 1, 3, 9. Common factors 1 and 3 are circled in both columns. The number 3 is highlighted as the GCF.