What is the Greatest Common Factor of 48096 and 48109?

Greatest common factor (GCF) of 48096 and 48109 is 1.

GCF(48096,48109) = 1

We will now calculate the prime factors of 48096 and 48109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48096 and 48109.

How to find the GCF of 48096 and 48109?

We will first find the prime factorization of 48096 and 48109. After we will calculate the factors of 48096 and 48109 and find the biggest common factor number .

Step-1: Prime Factorization of 48096

Prime factors of 48096 are 2, 3, 167. Prime factorization of 48096 in exponential form is:

48096 = 2⁵ × 3² × 167¹

Step-2: Prime Factorization of 48109

Prime factors of 48109 are 48109. Prime factorization of 48109 in exponential form is:

48109 = 48109¹

Step-3: Factors of 48096

List of positive integer factors of 48096 that divides 48096 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 167, 288, 334, 501, 668, 1002, 1336, 1503, 2004, 2672, 3006, 4008, 5344, 6012, 8016, 12024, 16032, 24048

Step-4: Factors of 48109

List of positive integer factors of 48109 that divides 48096 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48096 and 48109. The biggest common factor number is the GCF number.
So the greatest common factor 48096 and 48109 is 1.

Also check out the Least Common Multiple of 48096 and 48109