What is the Greatest Common Factor of 48087 and 48105?

Greatest common factor (GCF) of 48087 and 48105 is 9.

GCF(48087,48105) = 9

We will now calculate the prime factors of 48087 and 48105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48087 and 48105.

How to find the GCF of 48087 and 48105?

We will first find the prime factorization of 48087 and 48105. After we will calculate the factors of 48087 and 48105 and find the biggest common factor number .

Step-1: Prime Factorization of 48087

Prime factors of 48087 are 3, 13, 137. Prime factorization of 48087 in exponential form is:

48087 = 3³ × 13¹ × 137¹

Step-2: Prime Factorization of 48105

Prime factors of 48105 are 3, 5, 1069. Prime factorization of 48105 in exponential form is:

48105 = 3² × 5¹ × 1069¹

Step-3: Factors of 48087

List of positive integer factors of 48087 that divides 48087 without a remainder.

1, 3, 9, 13, 27, 39, 117, 137, 351, 411, 1233, 1781, 3699, 5343, 16029

Step-4: Factors of 48105

List of positive integer factors of 48105 that divides 48087 without a remainder.

1, 3, 5, 9, 15, 45, 1069, 3207, 5345, 9621, 16035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48087 and 48105. The biggest common factor number is the GCF number.
So the greatest common factor 48087 and 48105 is 9.

Also check out the Least Common Multiple of 48087 and 48105