What is the Greatest Common Factor of 57538 and 57553?

Greatest common factor (GCF) of 57538 and 57553 is 1.

GCF(57538,57553) = 1

We will now calculate the prime factors of 57538 and 57553, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57538 and 57553.

How to find the GCF of 57538 and 57553?

We will first find the prime factorization of 57538 and 57553. After we will calculate the factors of 57538 and 57553 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 57553

Prime factors of 57553 are 67, 859. Prime factorization of 57553 in exponential form is:

57553 = 67¹ × 859¹

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 57553

List of positive integer factors of 57553 that divides 57538 without a remainder.

1, 67, 859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57538 and 57553. The biggest common factor number is the GCF number.
So the greatest common factor 57538 and 57553 is 1.

Also check out the Least Common Multiple of 57538 and 57553