What is the Greatest Common Factor of 93210 and 93223?

Greatest common factor (GCF) of 93210 and 93223 is 13.

GCF(93210,93223) = 13

We will now calculate the prime factors of 93210 and 93223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93210 and 93223.

How to find the GCF of 93210 and 93223?

We will first find the prime factorization of 93210 and 93223. After we will calculate the factors of 93210 and 93223 and find the biggest common factor number .

Step-1: Prime Factorization of 93210

Prime factors of 93210 are 2, 3, 5, 13, 239. Prime factorization of 93210 in exponential form is:

93210 = 2¹ × 3¹ × 5¹ × 13¹ × 239¹

Step-2: Prime Factorization of 93223

Prime factors of 93223 are 13, 71, 101. Prime factorization of 93223 in exponential form is:

93223 = 13¹ × 71¹ × 101¹

Step-3: Factors of 93210

List of positive integer factors of 93210 that divides 93210 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 239, 390, 478, 717, 1195, 1434, 2390, 3107, 3585, 6214, 7170, 9321, 15535, 18642, 31070, 46605

Step-4: Factors of 93223

List of positive integer factors of 93223 that divides 93210 without a remainder.

1, 13, 71, 101, 923, 1313, 7171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93210 and 93223. The biggest common factor number is the GCF number.
So the greatest common factor 93210 and 93223 is 13.

Also check out the Least Common Multiple of 93210 and 93223