What is the Greatest Common Factor of 70158 and 70173?

Greatest common factor (GCF) of 70158 and 70173 is 3.

GCF(70158,70173) = 3

We will now calculate the prime factors of 70158 and 70173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70158 and 70173.

How to find the GCF of 70158 and 70173?

We will first find the prime factorization of 70158 and 70173. After we will calculate the factors of 70158 and 70173 and find the biggest common factor number .

Step-1: Prime Factorization of 70158

Prime factors of 70158 are 2, 3, 11, 1063. Prime factorization of 70158 in exponential form is:

70158 = 2¹ × 3¹ × 11¹ × 1063¹

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 70158

List of positive integer factors of 70158 that divides 70158 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1063, 2126, 3189, 6378, 11693, 23386, 35079

Step-4: Factors of 70173

List of positive integer factors of 70173 that divides 70158 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 70158 and 70173. The biggest common factor number is the GCF number.
So the greatest common factor 70158 and 70173 is 3.

Also check out the Least Common Multiple of 70158 and 70173