What is the Greatest Common Factor of 2 and 6?
Greatest common factor (GCF) of 2 and 6 is 2.
GCF(2,6) = 2
We will now calculate the prime factors of 2 and 6, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2 and 6.
How to find the GCF of 2 and 6?
We will first find the prime factorization of 2 and 6. After we will calculate the factors of 2 and 6 and find the biggest common factor number .
Step-1: Prime Factorization of 2
Prime factors of 2 are 2. Prime factorization of 2 in exponential form is:
2 = 21
Step-2: Prime Factorization of 6
Prime factors of 6 are 2, 3. Prime factorization of 6 in exponential form is:
6 = 21 × 31
Step-3: Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1
Step-4: Factors of 6
List of positive integer factors of 6 that divides 2 without a remainder.
1, 2, 3
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2 and 6. The biggest common factor number is the GCF number.
So the greatest common factor 2 and 6 is 2.
Also check out the Least Common Multiple of 2 and 6