What is the Greatest Common Factor of 57553 and 57569?

Greatest common factor (GCF) of 57553 and 57569 is 1.

GCF(57553,57569) = 1

We will now calculate the prime factors of 57553 and 57569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57553 and 57569.

How to find the GCF of 57553 and 57569?

We will first find the prime factorization of 57553 and 57569. After we will calculate the factors of 57553 and 57569 and find the biggest common factor number .

Step-1: Prime Factorization of 57553

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

57553 = 67¹ × 859¹

Step-2: Prime Factorization of 57569

Prime factors of 57569 are 23, 2503. Prime factorization of 57569 in exponential form is:

57569 = 23¹ × 2503¹

Step-3: Factors of 57553

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

1, 67, 859

Step-4: Factors of 57569

List of positive integer factors of 57569 that divides 57553 without a remainder.

1, 23, 2503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57553 and 57569. The biggest common factor number is the GCF number.
So the greatest common factor 57553 and 57569 is 1.

Also check out the Least Common Multiple of 57553 and 57569