What is the Greatest Common Factor of 57745 and 57754?

Greatest common factor (GCF) of 57745 and 57754 is 1.

GCF(57745,57754) = 1

We will now calculate the prime factors of 57745 and 57754, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57745 and 57754.

How to find the GCF of 57745 and 57754?

We will first find the prime factorization of 57745 and 57754. After we will calculate the factors of 57745 and 57754 and find the biggest common factor number .

Step-1: Prime Factorization of 57745

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

57745 = 5¹ × 11549¹

Step-2: Prime Factorization of 57754

Prime factors of 57754 are 2, 67, 431. Prime factorization of 57754 in exponential form is:

57754 = 2¹ × 67¹ × 431¹

Step-3: Factors of 57745

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

1, 5, 11549

Step-4: Factors of 57754

List of positive integer factors of 57754 that divides 57745 without a remainder.

1, 2, 67, 134, 431, 862, 28877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57745 and 57754. The biggest common factor number is the GCF number.
So the greatest common factor 57745 and 57754 is 1.

Also check out the Least Common Multiple of 57745 and 57754