What is the Greatest Common Factor of 57614 and 57627?

Greatest common factor (GCF) of 57614 and 57627 is 1.

GCF(57614,57627) = 1

We will now calculate the prime factors of 57614 and 57627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57614 and 57627.

How to find the GCF of 57614 and 57627?

We will first find the prime factorization of 57614 and 57627. After we will calculate the factors of 57614 and 57627 and find the biggest common factor number .

Step-1: Prime Factorization of 57614

Prime factors of 57614 are 2, 28807. Prime factorization of 57614 in exponential form is:

57614 = 2¹ × 28807¹

Step-2: 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-3: Factors of 57614

List of positive integer factors of 57614 that divides 57614 without a remainder.

1, 2, 28807

Step-4: Factors of 57627

List of positive integer factors of 57627 that divides 57614 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57614 and 57627. The biggest common factor number is the GCF number.
So the greatest common factor 57614 and 57627 is 1.

Also check out the Least Common Multiple of 57614 and 57627