What is the Greatest Common Factor of 57438 and 57457?

Greatest common factor (GCF) of 57438 and 57457 is 1.

GCF(57438,57457) = 1

We will now calculate the prime factors of 57438 and 57457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57438 and 57457.

How to find the GCF of 57438 and 57457?

We will first find the prime factorization of 57438 and 57457. After we will calculate the factors of 57438 and 57457 and find the biggest common factor number .

Step-1: Prime Factorization of 57438

Prime factors of 57438 are 2, 3, 3191. Prime factorization of 57438 in exponential form is:

57438 = 2¹ × 3² × 3191¹

Step-2: Prime Factorization of 57457

Prime factors of 57457 are 57457. Prime factorization of 57457 in exponential form is:

57457 = 57457¹

Step-3: Factors of 57438

List of positive integer factors of 57438 that divides 57438 without a remainder.

1, 2, 3, 6, 9, 18, 3191, 6382, 9573, 19146, 28719

Step-4: Factors of 57457

List of positive integer factors of 57457 that divides 57438 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57438 and 57457. The biggest common factor number is the GCF number.
So the greatest common factor 57438 and 57457 is 1.

Also check out the Least Common Multiple of 57438 and 57457