What is the Greatest Common Factor of 43160 and 43178?

Greatest common factor (GCF) of 43160 and 43178 is 2.

GCF(43160,43178) = 2

We will now calculate the prime factors of 43160 and 43178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43160 and 43178.

How to find the GCF of 43160 and 43178?

We will first find the prime factorization of 43160 and 43178. After we will calculate the factors of 43160 and 43178 and find the biggest common factor number .

Step-1: Prime Factorization of 43160

Prime factors of 43160 are 2, 5, 13, 83. Prime factorization of 43160 in exponential form is:

43160 = 2³ × 5¹ × 13¹ × 83¹

Step-2: Prime Factorization of 43178

Prime factors of 43178 are 2, 21589. Prime factorization of 43178 in exponential form is:

43178 = 2¹ × 21589¹

Step-3: Factors of 43160

List of positive integer factors of 43160 that divides 43160 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 83, 104, 130, 166, 260, 332, 415, 520, 664, 830, 1079, 1660, 2158, 3320, 4316, 5395, 8632, 10790, 21580

Step-4: Factors of 43178

List of positive integer factors of 43178 that divides 43160 without a remainder.

1, 2, 21589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43160 and 43178. The biggest common factor number is the GCF number.
So the greatest common factor 43160 and 43178 is 2.

Also check out the Least Common Multiple of 43160 and 43178