What is the Greatest Common Factor of 15 and 45?
Greatest common factor (GCF) of 15 and 45 is 15.
GCF(15,45) = 15
We will now calculate the prime factors of 15 and 45, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15 and 45.
How to find the GCF of 15 and 45?
We will first find the prime factorization of 15 and 45. After we will calculate the factors of 15 and 45 and find the biggest common factor number .
Step-1: Prime Factorization of 15
Prime factors of 15 are 3, 5. Prime factorization of 15 in exponential form is:
15 = 31 × 51
Step-2: Prime Factorization of 45
Prime factors of 45 are 3, 5. Prime factorization of 45 in exponential form is:
45 = 32 × 51
Step-3: Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1, 3, 5
Step-4: Factors of 45
List of positive integer factors of 45 that divides 15 without a remainder.
1, 3, 5, 9, 15
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 15 and 45. The biggest common factor number is the GCF number.
So the greatest common factor 15 and 45 is 15.
Also check out the Least Common Multiple of 15 and 45