What is the Greatest Common Factor of 23160 and 23170?

Greatest common factor (GCF) of 23160 and 23170 is 10.

GCF(23160,23170) = 10

We will now calculate the prime factors of 23160 and 23170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23160 and 23170.

How to find the GCF of 23160 and 23170?

We will first find the prime factorization of 23160 and 23170. After we will calculate the factors of 23160 and 23170 and find the biggest common factor number .

Step-1: Prime Factorization of 23160

Prime factors of 23160 are 2, 3, 5, 193. Prime factorization of 23160 in exponential form is:

23160 = 2³ × 3¹ × 5¹ × 193¹

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 23160

List of positive integer factors of 23160 that divides 23160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 193, 386, 579, 772, 965, 1158, 1544, 1930, 2316, 2895, 3860, 4632, 5790, 7720, 11580

Step-4: Factors of 23170

List of positive integer factors of 23170 that divides 23160 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 23160 and 23170. The biggest common factor number is the GCF number.
So the greatest common factor 23160 and 23170 is 10.

Also check out the Least Common Multiple of 23160 and 23170