What is the Greatest Common Factor of 58745 and 58763?

Greatest common factor (GCF) of 58745 and 58763 is 1.

GCF(58745,58763) = 1

We will now calculate the prime factors of 58745 and 58763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58745 and 58763.

How to find the GCF of 58745 and 58763?

We will first find the prime factorization of 58745 and 58763. After we will calculate the factors of 58745 and 58763 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 58763

Prime factors of 58763 are 58763. Prime factorization of 58763 in exponential form is:

58763 = 58763¹

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 58763

List of positive integer factors of 58763 that divides 58745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58745 and 58763. The biggest common factor number is the GCF number.
So the greatest common factor 58745 and 58763 is 1.

Also check out the Least Common Multiple of 58745 and 58763