What is the Greatest Common Factor of 70173 and 70185?

Greatest common factor (GCF) of 70173 and 70185 is 3.

GCF(70173,70185) = 3

We will now calculate the prime factors of 70173 and 70185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70173 and 70185.

How to find the GCF of 70173 and 70185?

We will first find the prime factorization of 70173 and 70185. After we will calculate the factors of 70173 and 70185 and find the biggest common factor number .

Step-1: Prime Factorization of 70173

Prime factors of 70173 are 3, 23, 113. Prime factorization of 70173 in exponential form is:

70173 = 3³ × 23¹ × 113¹

Step-2: Prime Factorization of 70185

Prime factors of 70185 are 3, 5, 4679. Prime factorization of 70185 in exponential form is:

70185 = 3¹ × 5¹ × 4679¹

Step-3: Factors of 70173

List of positive integer factors of 70173 that divides 70173 without a remainder.

1, 3, 9, 23, 27, 69, 113, 207, 339, 621, 1017, 2599, 3051, 7797, 23391

Step-4: Factors of 70185

List of positive integer factors of 70185 that divides 70173 without a remainder.

1, 3, 5, 15, 4679, 14037, 23395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70173 and 70185. The biggest common factor number is the GCF number.
So the greatest common factor 70173 and 70185 is 3.

Also check out the Least Common Multiple of 70173 and 70185