What is the Greatest Common Factor of 3 and 24?
Greatest common factor (GCF) of 3 and 24 is 3.
GCF(3,24) = 3
We will now calculate the prime factors of 3 and 24, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3 and 24.
How to find the GCF of 3 and 24?
We will first find the prime factorization of 3 and 24. After we will calculate the factors of 3 and 24 and find the biggest common factor number .
Step-1: Prime Factorization of 3
Prime factors of 3 are 3. Prime factorization of 3 in exponential form is:
3 = 31
Step-2: Prime Factorization of 24
Prime factors of 24 are 2, 3. Prime factorization of 24 in exponential form is:
24 = 23 × 31
Step-3: Factors of 3
List of positive integer factors of 3 that divides 3 without a remainder.
1
Step-4: Factors of 24
List of positive integer factors of 24 that divides 3 without a remainder.
1, 2, 3, 4, 6, 8, 12
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 3 and 24. The biggest common factor number is the GCF number.
So the greatest common factor 3 and 24 is 3.
Also check out the Least Common Multiple of 3 and 24