What is the Greatest Common Factor of 48516 and 48529?

Greatest common factor (GCF) of 48516 and 48529 is 13.

GCF(48516,48529) = 13

We will now calculate the prime factors of 48516 and 48529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48516 and 48529.

How to find the GCF of 48516 and 48529?

We will first find the prime factorization of 48516 and 48529. After we will calculate the factors of 48516 and 48529 and find the biggest common factor number .

Step-1: Prime Factorization of 48516

Prime factors of 48516 are 2, 3, 13, 311. Prime factorization of 48516 in exponential form is:

48516 = 2² × 3¹ × 13¹ × 311¹

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 48516

List of positive integer factors of 48516 that divides 48516 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 311, 622, 933, 1244, 1866, 3732, 4043, 8086, 12129, 16172, 24258

Step-4: Factors of 48529

List of positive integer factors of 48529 that divides 48516 without a remainder.

1, 13, 3733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48516 and 48529. The biggest common factor number is the GCF number.
So the greatest common factor 48516 and 48529 is 13.

Also check out the Least Common Multiple of 48516 and 48529