What is the Greatest Common Factor of 70165 and 70173?

Greatest common factor (GCF) of 70165 and 70173 is 1.

GCF(70165,70173) = 1

We will now calculate the prime factors of 70165 and 70173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70165 and 70173.

How to find the GCF of 70165 and 70173?

We will first find the prime factorization of 70165 and 70173. After we will calculate the factors of 70165 and 70173 and find the biggest common factor number .

Step-1: Prime Factorization of 70165

Prime factors of 70165 are 5, 14033. Prime factorization of 70165 in exponential form is:

70165 = 5¹ × 14033¹

Step-2: 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-3: Factors of 70165

List of positive integer factors of 70165 that divides 70165 without a remainder.

1, 5, 14033

Step-4: Factors of 70173

List of positive integer factors of 70173 that divides 70165 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70165 and 70173. The biggest common factor number is the GCF number.
So the greatest common factor 70165 and 70173 is 1.

Also check out the Least Common Multiple of 70165 and 70173