What is the Greatest Common Factor of 43105 and 43125?

Greatest common factor (GCF) of 43105 and 43125 is 5.

GCF(43105,43125) = 5

We will now calculate the prime factors of 43105 and 43125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43105 and 43125.

How to find the GCF of 43105 and 43125?

We will first find the prime factorization of 43105 and 43125. After we will calculate the factors of 43105 and 43125 and find the biggest common factor number .

Step-1: Prime Factorization of 43105

Prime factors of 43105 are 5, 37, 233. Prime factorization of 43105 in exponential form is:

43105 = 5¹ × 37¹ × 233¹

Step-2: Prime Factorization of 43125

Prime factors of 43125 are 3, 5, 23. Prime factorization of 43125 in exponential form is:

43125 = 3¹ × 5⁴ × 23¹

Step-3: Factors of 43105

List of positive integer factors of 43105 that divides 43105 without a remainder.

1, 5, 37, 185, 233, 1165, 8621

Step-4: Factors of 43125

List of positive integer factors of 43125 that divides 43105 without a remainder.

1, 3, 5, 15, 23, 25, 69, 75, 115, 125, 345, 375, 575, 625, 1725, 1875, 2875, 8625, 14375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43105 and 43125. The biggest common factor number is the GCF number.
So the greatest common factor 43105 and 43125 is 5.

Also check out the Least Common Multiple of 43105 and 43125