What is the Greatest Common Factor of 93145 and 93158?

Greatest common factor (GCF) of 93145 and 93158 is 13.

GCF(93145,93158) = 13

We will now calculate the prime factors of 93145 and 93158, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93145 and 93158.

How to find the GCF of 93145 and 93158?

We will first find the prime factorization of 93145 and 93158. After we will calculate the factors of 93145 and 93158 and find the biggest common factor number .

Step-1: Prime Factorization of 93145

Prime factors of 93145 are 5, 13, 1433. Prime factorization of 93145 in exponential form is:

93145 = 5¹ × 13¹ × 1433¹

Step-2: Prime Factorization of 93158

Prime factors of 93158 are 2, 13, 3583. Prime factorization of 93158 in exponential form is:

93158 = 2¹ × 13¹ × 3583¹

Step-3: Factors of 93145

List of positive integer factors of 93145 that divides 93145 without a remainder.

1, 5, 13, 65, 1433, 7165, 18629

Step-4: Factors of 93158

List of positive integer factors of 93158 that divides 93145 without a remainder.

1, 2, 13, 26, 3583, 7166, 46579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93145 and 93158. The biggest common factor number is the GCF number.
So the greatest common factor 93145 and 93158 is 13.

Also check out the Least Common Multiple of 93145 and 93158