Greatest Common Factor of 2 and 3

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

• Greatest Common Factor of 2 and 3 by prime factorization method
• Greatest Common Factor of 2 and 3 by matching factors method

Prime Factorization of 2

Prime factors of 2 are 2. Prime factorization of 2 in exponential form is:

2 = 2¹

Prime Factorization of 3

Prime factors of 3 are 3.Prime factorization of 3 in exponential form is:

3 = 3¹

∴ So by taking common prime factors GCF of 2 and 3 is 1

Factors of 2

List of positive integer factors of 2 that divides 2 without a remainder.

1,2

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Greatest Common Factor

We found the factors and prime factorization of 2 and 3. The biggest common factor number is the GCF number.
So the greatest common factor 2 and 3 is 1.

Also check out the Least Common Multiple of 2 and 3

(i) The GCF of 2 and 3 is associative

GCF of 2 and 3 = GCF of 3 and 2

1. What is the GCF of 2 and 3?

Answer: GCF of 2 and 3 is 1.

2. What are the Factors of 2?

Answer: Factors of 2 are 1, 2. There are 2 integers that are factors of 2. The greatest factor of 2 is 2.

3. What are the Factors of 3?

Answer: Factors of 3 are 1, 3. There are 2 integers that are factors of 3. The greatest factor of 3 is 3.

4. How to Find the GCF of 2 and 3?

Answer:

Greatest Common Factor of 2 and 3 = 1

Step 1: Find the prime factorization of 2

2 = 2

Step 2: Find the prime factorization of 3

3 = 3

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 2 and 3 is 1