What is the Greatest Common Factor of 58506 and 58513?

Greatest common factor (GCF) of 58506 and 58513 is 7.

GCF(58506,58513) = 7

We will now calculate the prime factors of 58506 and 58513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58506 and 58513.

How to find the GCF of 58506 and 58513?

We will first find the prime factorization of 58506 and 58513. After we will calculate the factors of 58506 and 58513 and find the biggest common factor number .

Step-1: Prime Factorization of 58506

Prime factors of 58506 are 2, 3, 7, 199. Prime factorization of 58506 in exponential form is:

58506 = 2¹ × 3¹ × 7² × 199¹

Step-2: Prime Factorization of 58513

Prime factors of 58513 are 7, 13, 643. Prime factorization of 58513 in exponential form is:

58513 = 7¹ × 13¹ × 643¹

Step-3: Factors of 58506

List of positive integer factors of 58506 that divides 58506 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 199, 294, 398, 597, 1194, 1393, 2786, 4179, 8358, 9751, 19502, 29253

Step-4: Factors of 58513

List of positive integer factors of 58513 that divides 58506 without a remainder.

1, 7, 13, 91, 643, 4501, 8359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58506 and 58513. The biggest common factor number is the GCF number.
So the greatest common factor 58506 and 58513 is 7.

Also check out the Least Common Multiple of 58506 and 58513