What is the Greatest Common Factor of 48529 and 48542?

Greatest common factor (GCF) of 48529 and 48542 is 13.

GCF(48529,48542) = 13

We will now calculate the prime factors of 48529 and 48542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48529 and 48542.

How to find the GCF of 48529 and 48542?

We will first find the prime factorization of 48529 and 48542. After we will calculate the factors of 48529 and 48542 and find the biggest common factor number .

Step-1: Prime Factorization of 48529

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

48529 = 13¹ × 3733¹

Step-2: Prime Factorization of 48542

Prime factors of 48542 are 2, 13, 1867. Prime factorization of 48542 in exponential form is:

48542 = 2¹ × 13¹ × 1867¹

Step-3: Factors of 48529

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

1, 13, 3733

Step-4: Factors of 48542

List of positive integer factors of 48542 that divides 48529 without a remainder.

1, 2, 13, 26, 1867, 3734, 24271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48529 and 48542. The biggest common factor number is the GCF number.
So the greatest common factor 48529 and 48542 is 13.

Also check out the Least Common Multiple of 48529 and 48542