What is the Greatest Common Factor of 43115 and 43125?

Greatest common factor (GCF) of 43115 and 43125 is 5.

GCF(43115,43125) = 5

We will now calculate the prime factors of 43115 and 43125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43115 and 43125.

How to find the GCF of 43115 and 43125?

We will first find the prime factorization of 43115 and 43125. After we will calculate the factors of 43115 and 43125 and find the biggest common factor number .

Step-1: Prime Factorization of 43115

Prime factors of 43115 are 5, 8623. Prime factorization of 43115 in exponential form is:

43115 = 5¹ × 8623¹

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 43115

List of positive integer factors of 43115 that divides 43115 without a remainder.

1, 5, 8623

Step-4: Factors of 43125

List of positive integer factors of 43125 that divides 43115 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 43115 and 43125. The biggest common factor number is the GCF number.
So the greatest common factor 43115 and 43125 is 5.

Also check out the Least Common Multiple of 43115 and 43125