What is the Greatest Common Factor of 69173 and 69190?

Greatest common factor (GCF) of 69173 and 69190 is 17.

GCF(69173,69190) = 17

We will now calculate the prime factors of 69173 and 69190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69173 and 69190.

How to find the GCF of 69173 and 69190?

We will first find the prime factorization of 69173 and 69190. After we will calculate the factors of 69173 and 69190 and find the biggest common factor number .

Step-1: Prime Factorization of 69173

Prime factors of 69173 are 13, 17, 313. Prime factorization of 69173 in exponential form is:

69173 = 13¹ × 17¹ × 313¹

Step-2: Prime Factorization of 69190

Prime factors of 69190 are 2, 5, 11, 17, 37. Prime factorization of 69190 in exponential form is:

69190 = 2¹ × 5¹ × 11¹ × 17¹ × 37¹

Step-3: Factors of 69173

List of positive integer factors of 69173 that divides 69173 without a remainder.

1, 13, 17, 221, 313, 4069, 5321

Step-4: Factors of 69190

List of positive integer factors of 69190 that divides 69173 without a remainder.

1, 2, 5, 10, 11, 17, 22, 34, 37, 55, 74, 85, 110, 170, 185, 187, 370, 374, 407, 629, 814, 935, 1258, 1870, 2035, 3145, 4070, 6290, 6919, 13838, 34595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69173 and 69190. The biggest common factor number is the GCF number.
So the greatest common factor 69173 and 69190 is 17.

Also check out the Least Common Multiple of 69173 and 69190