What is the Greatest Common Factor of 43112 and 43129?

Greatest common factor (GCF) of 43112 and 43129 is 17.

GCF(43112,43129) = 17

We will now calculate the prime factors of 43112 and 43129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43112 and 43129.

How to find the GCF of 43112 and 43129?

We will first find the prime factorization of 43112 and 43129. After we will calculate the factors of 43112 and 43129 and find the biggest common factor number .

Step-1: Prime Factorization of 43112

Prime factors of 43112 are 2, 17, 317. Prime factorization of 43112 in exponential form is:

43112 = 2³ × 17¹ × 317¹

Step-2: Prime Factorization of 43129

Prime factors of 43129 are 17, 43, 59. Prime factorization of 43129 in exponential form is:

43129 = 17¹ × 43¹ × 59¹

Step-3: Factors of 43112

List of positive integer factors of 43112 that divides 43112 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 317, 634, 1268, 2536, 5389, 10778, 21556

Step-4: Factors of 43129

List of positive integer factors of 43129 that divides 43112 without a remainder.

1, 17, 43, 59, 731, 1003, 2537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43112 and 43129. The biggest common factor number is the GCF number.
So the greatest common factor 43112 and 43129 is 17.

Also check out the Least Common Multiple of 43112 and 43129