What is the Greatest Common Factor of 57627 and 57634?

Greatest common factor (GCF) of 57627 and 57634 is 1.

GCF(57627,57634) = 1

We will now calculate the prime factors of 57627 and 57634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57627 and 57634.

How to find the GCF of 57627 and 57634?

We will first find the prime factorization of 57627 and 57634. After we will calculate the factors of 57627 and 57634 and find the biggest common factor number .

Step-1: Prime Factorization of 57627

Prime factors of 57627 are 3, 19, 337. Prime factorization of 57627 in exponential form is:

57627 = 3² × 19¹ × 337¹

Step-2: Prime Factorization of 57634

Prime factors of 57634 are 2, 28817. Prime factorization of 57634 in exponential form is:

57634 = 2¹ × 28817¹

Step-3: Factors of 57627

List of positive integer factors of 57627 that divides 57627 without a remainder.

1, 3, 9, 19, 57, 171, 337, 1011, 3033, 6403, 19209

Step-4: Factors of 57634

List of positive integer factors of 57634 that divides 57627 without a remainder.

1, 2, 28817

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57627 and 57634. The biggest common factor number is the GCF number.
So the greatest common factor 57627 and 57634 is 1.

Also check out the Least Common Multiple of 57627 and 57634