What is the Greatest Common Factor of 48009 and 48015?

Greatest common factor (GCF) of 48009 and 48015 is 3.

GCF(48009,48015) = 3

We will now calculate the prime factors of 48009 and 48015, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48009 and 48015.

How to find the GCF of 48009 and 48015?

We will first find the prime factorization of 48009 and 48015. After we will calculate the factors of 48009 and 48015 and find the biggest common factor number .

Step-1: Prime Factorization of 48009

Prime factors of 48009 are 3, 13, 1231. Prime factorization of 48009 in exponential form is:

48009 = 3¹ × 13¹ × 1231¹

Step-2: Prime Factorization of 48015

Prime factors of 48015 are 3, 5, 11, 97. Prime factorization of 48015 in exponential form is:

48015 = 3² × 5¹ × 11¹ × 97¹

Step-3: Factors of 48009

List of positive integer factors of 48009 that divides 48009 without a remainder.

1, 3, 13, 39, 1231, 3693, 16003

Step-4: Factors of 48015

List of positive integer factors of 48015 that divides 48009 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 97, 99, 165, 291, 485, 495, 873, 1067, 1455, 3201, 4365, 5335, 9603, 16005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48009 and 48015. The biggest common factor number is the GCF number.
So the greatest common factor 48009 and 48015 is 3.

Also check out the Least Common Multiple of 48009 and 48015