What is the Greatest Common Factor of 58135 and 58143?

Greatest common factor (GCF) of 58135 and 58143 is 1.

GCF(58135,58143) = 1

We will now calculate the prime factors of 58135 and 58143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58135 and 58143.

How to find the GCF of 58135 and 58143?

We will first find the prime factorization of 58135 and 58143. After we will calculate the factors of 58135 and 58143 and find the biggest common factor number .

Step-1: Prime Factorization of 58135

Prime factors of 58135 are 5, 7, 11, 151. Prime factorization of 58135 in exponential form is:

58135 = 5¹ × 7¹ × 11¹ × 151¹

Step-2: Prime Factorization of 58143

Prime factors of 58143 are 3, 19381. Prime factorization of 58143 in exponential form is:

58143 = 3¹ × 19381¹

Step-3: Factors of 58135

List of positive integer factors of 58135 that divides 58135 without a remainder.

1, 5, 7, 11, 35, 55, 77, 151, 385, 755, 1057, 1661, 5285, 8305, 11627

Step-4: Factors of 58143

List of positive integer factors of 58143 that divides 58135 without a remainder.

1, 3, 19381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58135 and 58143. The biggest common factor number is the GCF number.
So the greatest common factor 58135 and 58143 is 1.

Also check out the Least Common Multiple of 58135 and 58143