What is the Greatest Common Factor of 58135 and 58147?

Greatest common factor (GCF) of 58135 and 58147 is 1.

GCF(58135,58147) = 1

We will now calculate the prime factors of 58135 and 58147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58135 and 58147.

How to find the GCF of 58135 and 58147?

We will first find the prime factorization of 58135 and 58147. After we will calculate the factors of 58135 and 58147 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 58147

Prime factors of 58147 are 58147. Prime factorization of 58147 in exponential form is:

58147 = 58147¹

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 58147

List of positive integer factors of 58147 that divides 58135 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58135 and 58147. The biggest common factor number is the GCF number.
So the greatest common factor 58135 and 58147 is 1.

Also check out the Least Common Multiple of 58135 and 58147