What is the Greatest Common Factor of 88158 and 88173?

Greatest common factor (GCF) of 88158 and 88173 is 3.

GCF(88158,88173) = 3

We will now calculate the prime factors of 88158 and 88173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88158 and 88173.

How to find the GCF of 88158 and 88173?

We will first find the prime factorization of 88158 and 88173. After we will calculate the factors of 88158 and 88173 and find the biggest common factor number .

Step-1: Prime Factorization of 88158

Prime factors of 88158 are 2, 3, 7, 2099. Prime factorization of 88158 in exponential form is:

88158 = 2¹ × 3¹ × 7¹ × 2099¹

Step-2: Prime Factorization of 88173

Prime factors of 88173 are 3, 97, 101. Prime factorization of 88173 in exponential form is:

88173 = 3² × 97¹ × 101¹

Step-3: Factors of 88158

List of positive integer factors of 88158 that divides 88158 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2099, 4198, 6297, 12594, 14693, 29386, 44079

Step-4: Factors of 88173

List of positive integer factors of 88173 that divides 88158 without a remainder.

1, 3, 9, 97, 101, 291, 303, 873, 909, 9797, 29391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88158 and 88173. The biggest common factor number is the GCF number.
So the greatest common factor 88158 and 88173 is 3.

Also check out the Least Common Multiple of 88158 and 88173