CramX Logo

Q
QuestionMathematics

Find the greatest common factor (GCF) for the pair of numbers 6 and 9.
12 months agoReport content

Answer

Full Solution Locked

Sign in to view the complete step-by-step solution and unlock all study resources.

Step 1:
I'll solve this problem step by step using the guidelines you specified:

Step 2:
: List the factors of 6

6 = 1 \times 6
6 = 2 \times 3 The factors of 6 are: 1, 2, 3, and 6

Step 3:
: List the factors of 9

9 = 1 \times 9
9 = 3 \times 3 The factors of 9 are: 1, 3, and 9

Step 4:
: Identify the common factors

The common factors between 6 and 9 are: 1 and 3

Step 5:
: Determine the greatest common factor

GCF(6,9) = 3
The greatest common factor is the largest number that appears in both lists of factors.

Final Answer

Verification: - 6 ÷ 3 = 2 (whole number) - 9 ÷ 3 = 3 (whole number) - No larger number divides both 6 and 9 evenly