What is the Greatest Common Factor of 48109 and 48128?

Greatest common factor (GCF) of 48109 and 48128 is 1.

GCF(48109,48128) = 1

We will now calculate the prime factors of 48109 and 48128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48109 and 48128.

How to find the GCF of 48109 and 48128?

We will first find the prime factorization of 48109 and 48128. After we will calculate the factors of 48109 and 48128 and find the biggest common factor number .

Step-1: Prime Factorization of 48109

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

48109 = 48109¹

Step-2: Prime Factorization of 48128

Prime factors of 48128 are 2, 47. Prime factorization of 48128 in exponential form is:

48128 = 2¹⁰ × 47¹

Step-3: Factors of 48109

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

Step-4: Factors of 48128

List of positive integer factors of 48128 that divides 48109 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1024, 1504, 3008, 6016, 12032, 24064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48109 and 48128. The biggest common factor number is the GCF number.
So the greatest common factor 48109 and 48128 is 1.

Also check out the Least Common Multiple of 48109 and 48128