What is the Greatest Common Factor of 58071 and 58084?

Greatest common factor (GCF) of 58071 and 58084 is 13.

GCF(58071,58084) = 13

We will now calculate the prime factors of 58071 and 58084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58071 and 58084.

How to find the GCF of 58071 and 58084?

We will first find the prime factorization of 58071 and 58084. After we will calculate the factors of 58071 and 58084 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58084

Prime factors of 58084 are 2, 13, 1117. Prime factorization of 58084 in exponential form is:

58084 = 2² × 13¹ × 1117¹

Step-3: Factors of 58071

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

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

Step-4: Factors of 58084

List of positive integer factors of 58084 that divides 58071 without a remainder.

1, 2, 4, 13, 26, 52, 1117, 2234, 4468, 14521, 29042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58071 and 58084. The biggest common factor number is the GCF number.
So the greatest common factor 58071 and 58084 is 13.

Also check out the Least Common Multiple of 58071 and 58084