What is the Greatest Common Factor of 48512 and 48529?

Greatest common factor (GCF) of 48512 and 48529 is 1.

GCF(48512,48529) = 1

We will now calculate the prime factors of 48512 and 48529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48512 and 48529.

How to find the GCF of 48512 and 48529?

We will first find the prime factorization of 48512 and 48529. After we will calculate the factors of 48512 and 48529 and find the biggest common factor number .

Step-1: Prime Factorization of 48512

Prime factors of 48512 are 2, 379. Prime factorization of 48512 in exponential form is:

48512 = 2⁷ × 379¹

Step-2: Prime Factorization of 48529

Prime factors of 48529 are 13, 3733. Prime factorization of 48529 in exponential form is:

48529 = 13¹ × 3733¹

Step-3: Factors of 48512

List of positive integer factors of 48512 that divides 48512 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 379, 758, 1516, 3032, 6064, 12128, 24256

Step-4: Factors of 48529

List of positive integer factors of 48529 that divides 48512 without a remainder.

1, 13, 3733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48512 and 48529. The biggest common factor number is the GCF number.
So the greatest common factor 48512 and 48529 is 1.

Also check out the Least Common Multiple of 48512 and 48529