What is the Greatest Common Factor of 93509 and 93513?

Greatest common factor (GCF) of 93509 and 93513 is 1.

GCF(93509,93513) = 1

We will now calculate the prime factors of 93509 and 93513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93509 and 93513.

How to find the GCF of 93509 and 93513?

We will first find the prime factorization of 93509 and 93513. After we will calculate the factors of 93509 and 93513 and find the biggest common factor number .

Step-1: Prime Factorization of 93509

Prime factors of 93509 are 13, 7193. Prime factorization of 93509 in exponential form is:

93509 = 13¹ × 7193¹

Step-2: Prime Factorization of 93513

Prime factors of 93513 are 3, 7, 61, 73. Prime factorization of 93513 in exponential form is:

93513 = 3¹ × 7¹ × 61¹ × 73¹

Step-3: Factors of 93509

List of positive integer factors of 93509 that divides 93509 without a remainder.

1, 13, 7193

Step-4: Factors of 93513

List of positive integer factors of 93513 that divides 93509 without a remainder.

1, 3, 7, 21, 61, 73, 183, 219, 427, 511, 1281, 1533, 4453, 13359, 31171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93509 and 93513. The biggest common factor number is the GCF number.
So the greatest common factor 93509 and 93513 is 1.

Also check out the Least Common Multiple of 93509 and 93513