What is the Greatest Common Factor of 57738 and 57745?

Greatest common factor (GCF) of 57738 and 57745 is 1.

GCF(57738,57745) = 1

We will now calculate the prime factors of 57738 and 57745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57738 and 57745.

How to find the GCF of 57738 and 57745?

We will first find the prime factorization of 57738 and 57745. After we will calculate the factors of 57738 and 57745 and find the biggest common factor number .

Step-1: Prime Factorization of 57738

Prime factors of 57738 are 2, 3, 9623. Prime factorization of 57738 in exponential form is:

57738 = 2¹ × 3¹ × 9623¹

Step-2: Prime Factorization of 57745

Prime factors of 57745 are 5, 11549. Prime factorization of 57745 in exponential form is:

57745 = 5¹ × 11549¹

Step-3: Factors of 57738

List of positive integer factors of 57738 that divides 57738 without a remainder.

1, 2, 3, 6, 9623, 19246, 28869

Step-4: Factors of 57745

List of positive integer factors of 57745 that divides 57738 without a remainder.

1, 5, 11549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57738 and 57745. The biggest common factor number is the GCF number.
So the greatest common factor 57738 and 57745 is 1.

Also check out the Least Common Multiple of 57738 and 57745