What is the Greatest Common Factor of 58745 and 58757?

Greatest common factor (GCF) of 58745 and 58757 is 1.

GCF(58745,58757) = 1

We will now calculate the prime factors of 58745 and 58757, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58745 and 58757.

How to find the GCF of 58745 and 58757?

We will first find the prime factorization of 58745 and 58757. After we will calculate the factors of 58745 and 58757 and find the biggest common factor number .

Step-1: Prime Factorization of 58745

Prime factors of 58745 are 5, 31, 379. Prime factorization of 58745 in exponential form is:

58745 = 5¹ × 31¹ × 379¹

Step-2: Prime Factorization of 58757

Prime factors of 58757 are 58757. Prime factorization of 58757 in exponential form is:

58757 = 58757¹

Step-3: Factors of 58745

List of positive integer factors of 58745 that divides 58745 without a remainder.

1, 5, 31, 155, 379, 1895, 11749

Step-4: Factors of 58757

List of positive integer factors of 58757 that divides 58745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58745 and 58757. The biggest common factor number is the GCF number.
So the greatest common factor 58745 and 58757 is 1.

Also check out the Least Common Multiple of 58745 and 58757