What is the GCF of 2 and 3?

GCF of 2 and 3

Answer: The GCF of 2 and 3 is 1.

Solution: To find the Greatest Common Factor (GCF) of two numbers, we list the factors of each number and identify the largest factor they have in common.

Step 1: List the factors of the first number, 2.

The factors of 2 are the numbers that divide 2 evenly.

Factors of 2: $${1, 2}$$ 

Step 2: List the factors of the second number, 3.

The factors of 3 are the numbers that divide 3 evenly.

Factors of 3: $${1, 3}$$ 

Step 3: Identify the common factors.

Compare the lists of factors for 2 and 3 to find the factors that appear in both lists.

Common factors of 2 and 3: $${1}$$ 

Step 4: Determine the greatest common factor.

From the common factors, select the largest one.

The greatest common factor is 1.

Therefore, the GCF of 2 and 3 is 1. This is also expected because 2 and 3 are prime numbers, and the GCF of any two distinct prime numbers is always 1.