What is the Greatest Common Factor of 43160 and 43172?

Greatest common factor (GCF) of 43160 and 43172 is 4.

GCF(43160,43172) = 4

We will now calculate the prime factors of 43160 and 43172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43160 and 43172.

How to find the GCF of 43160 and 43172?

We will first find the prime factorization of 43160 and 43172. After we will calculate the factors of 43160 and 43172 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 43172

Prime factors of 43172 are 2, 43, 251. Prime factorization of 43172 in exponential form is:

43172 = 2² × 43¹ × 251¹

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 43172

List of positive integer factors of 43172 that divides 43160 without a remainder.

1, 2, 4, 43, 86, 172, 251, 502, 1004, 10793, 21586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43160 and 43172. The biggest common factor number is the GCF number.
So the greatest common factor 43160 and 43172 is 4.

Also check out the Least Common Multiple of 43160 and 43172