What is the Greatest Common Factor of 58062 and 58071?

Greatest common factor (GCF) of 58062 and 58071 is 3.

GCF(58062,58071) = 3

We will now calculate the prime factors of 58062 and 58071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58062 and 58071.

How to find the GCF of 58062 and 58071?

We will first find the prime factorization of 58062 and 58071. After we will calculate the factors of 58062 and 58071 and find the biggest common factor number .

Step-1: Prime Factorization of 58062

Prime factors of 58062 are 2, 3, 9677. Prime factorization of 58062 in exponential form is:

58062 = 2¹ × 3¹ × 9677¹

Step-2: Prime Factorization of 58071

Prime factors of 58071 are 3, 13, 1489. Prime factorization of 58071 in exponential form is:

58071 = 3¹ × 13¹ × 1489¹

Step-3: Factors of 58062

List of positive integer factors of 58062 that divides 58062 without a remainder.

1, 2, 3, 6, 9677, 19354, 29031

Step-4: Factors of 58071

List of positive integer factors of 58071 that divides 58062 without a remainder.

1, 3, 13, 39, 1489, 4467, 19357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58062 and 58071. The biggest common factor number is the GCF number.
So the greatest common factor 58062 and 58071 is 3.

Also check out the Least Common Multiple of 58062 and 58071