What is the Greatest Common Factor of 32058 and 32071?

Greatest common factor (GCF) of 32058 and 32071 is 13.

GCF(32058,32071) = 13

We will now calculate the prime factors of 32058 and 32071, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32058 and 32071.

How to find the GCF of 32058 and 32071?

We will first find the prime factorization of 32058 and 32071. After we will calculate the factors of 32058 and 32071 and find the biggest common factor number .

Step-1: Prime Factorization of 32058

Prime factors of 32058 are 2, 3, 13, 137. Prime factorization of 32058 in exponential form is:

32058 = 2¹ × 3² × 13¹ × 137¹

Step-2: Prime Factorization of 32071

Prime factors of 32071 are 13, 2467. Prime factorization of 32071 in exponential form is:

32071 = 13¹ × 2467¹

Step-3: Factors of 32058

List of positive integer factors of 32058 that divides 32058 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 137, 234, 274, 411, 822, 1233, 1781, 2466, 3562, 5343, 10686, 16029

Step-4: Factors of 32071

List of positive integer factors of 32071 that divides 32058 without a remainder.

1, 13, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32058 and 32071. The biggest common factor number is the GCF number.
So the greatest common factor 32058 and 32071 is 13.

Also check out the Least Common Multiple of 32058 and 32071