What is the Greatest Common Factor of 93305 and 93310?

Greatest common factor (GCF) of 93305 and 93310 is 5.

GCF(93305,93310) = 5

We will now calculate the prime factors of 93305 and 93310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93305 and 93310.

How to find the GCF of 93305 and 93310?

We will first find the prime factorization of 93305 and 93310. After we will calculate the factors of 93305 and 93310 and find the biggest common factor number .

Step-1: Prime Factorization of 93305

Prime factors of 93305 are 5, 18661. Prime factorization of 93305 in exponential form is:

93305 = 5¹ × 18661¹

Step-2: Prime Factorization of 93310

Prime factors of 93310 are 2, 5, 7, 31, 43. Prime factorization of 93310 in exponential form is:

93310 = 2¹ × 5¹ × 7¹ × 31¹ × 43¹

Step-3: Factors of 93305

List of positive integer factors of 93305 that divides 93305 without a remainder.

1, 5, 18661

Step-4: Factors of 93310

List of positive integer factors of 93310 that divides 93305 without a remainder.

1, 2, 5, 7, 10, 14, 31, 35, 43, 62, 70, 86, 155, 215, 217, 301, 310, 430, 434, 602, 1085, 1333, 1505, 2170, 2666, 3010, 6665, 9331, 13330, 18662, 46655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93305 and 93310. The biggest common factor number is the GCF number.
So the greatest common factor 93305 and 93310 is 5.

Also check out the Least Common Multiple of 93305 and 93310