What is the Greatest Common Factor of 2 and 9?
Greatest common factor (GCF) of 2 and 9 is 1.
GCF(2,9) = 1
We will now calculate the prime factors of 2 and 9, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2 and 9.
How to find the GCF of 2 and 9?
We will first find the prime factorization of 2 and 9. After we will calculate the factors of 2 and 9 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 9
Prime factors of 9 are 3. Prime factorization of 9 in exponential form is:
9 = 32
Step-3: Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1
Step-4: Factors of 9
List of positive integer factors of 9 that divides 2 without a remainder.
1, 3
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 2 and 9. The biggest common factor number is the GCF number.
So the greatest common factor 2 and 9 is 1.
Also check out the Least Common Multiple of 2 and 9