What is the Greatest Common Factor of 57538 and 57548?

Greatest common factor (GCF) of 57538 and 57548 is 2.

GCF(57538,57548) = 2

We will now calculate the prime factors of 57538 and 57548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57538 and 57548.

How to find the GCF of 57538 and 57548?

We will first find the prime factorization of 57538 and 57548. After we will calculate the factors of 57538 and 57548 and find the biggest common factor number .

Step-1: Prime Factorization of 57538

Prime factors of 57538 are 2, 13, 2213. Prime factorization of 57538 in exponential form is:

57538 = 2¹ × 13¹ × 2213¹

Step-2: Prime Factorization of 57548

Prime factors of 57548 are 2, 14387. Prime factorization of 57548 in exponential form is:

57548 = 2² × 14387¹

Step-3: Factors of 57538

List of positive integer factors of 57538 that divides 57538 without a remainder.

1, 2, 13, 26, 2213, 4426, 28769

Step-4: Factors of 57548

List of positive integer factors of 57548 that divides 57538 without a remainder.

1, 2, 4, 14387, 28774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57538 and 57548. The biggest common factor number is the GCF number.
So the greatest common factor 57538 and 57548 is 2.

Also check out the Least Common Multiple of 57538 and 57548