What is the Greatest Common Factor of 23158 and 23170?

Greatest common factor (GCF) of 23158 and 23170 is 2.

GCF(23158,23170) = 2

We will now calculate the prime factors of 23158 and 23170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23158 and 23170.

How to find the GCF of 23158 and 23170?

We will first find the prime factorization of 23158 and 23170. After we will calculate the factors of 23158 and 23170 and find the biggest common factor number .

Step-1: Prime Factorization of 23158

Prime factors of 23158 are 2, 11579. Prime factorization of 23158 in exponential form is:

23158 = 2¹ × 11579¹

Step-2: Prime Factorization of 23170

Prime factors of 23170 are 2, 5, 7, 331. Prime factorization of 23170 in exponential form is:

23170 = 2¹ × 5¹ × 7¹ × 331¹

Step-3: Factors of 23158

List of positive integer factors of 23158 that divides 23158 without a remainder.

1, 2, 11579

Step-4: Factors of 23170

List of positive integer factors of 23170 that divides 23158 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 331, 662, 1655, 2317, 3310, 4634, 11585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23158 and 23170. The biggest common factor number is the GCF number.
So the greatest common factor 23158 and 23170 is 2.

Also check out the Least Common Multiple of 23158 and 23170