What is the Greatest Common Factor of 43148 and 43160?

Greatest common factor (GCF) of 43148 and 43160 is 4.

GCF(43148,43160) = 4

We will now calculate the prime factors of 43148 and 43160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43148 and 43160.

How to find the GCF of 43148 and 43160?

We will first find the prime factorization of 43148 and 43160. After we will calculate the factors of 43148 and 43160 and find the biggest common factor number .

Step-1: Prime Factorization of 43148

Prime factors of 43148 are 2, 7, 23, 67. Prime factorization of 43148 in exponential form is:

43148 = 2² × 7¹ × 23¹ × 67¹

Step-2: 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-3: Factors of 43148

List of positive integer factors of 43148 that divides 43148 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 67, 92, 134, 161, 268, 322, 469, 644, 938, 1541, 1876, 3082, 6164, 10787, 21574

Step-4: Factors of 43160

List of positive integer factors of 43160 that divides 43148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43148 and 43160. The biggest common factor number is the GCF number.
So the greatest common factor 43148 and 43160 is 4.

Also check out the Least Common Multiple of 43148 and 43160