What is the Greatest Common Factor of 43125 and 43145?

Greatest common factor (GCF) of 43125 and 43145 is 5.

GCF(43125,43145) = 5

We will now calculate the prime factors of 43125 and 43145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43125 and 43145.

How to find the GCF of 43125 and 43145?

We will first find the prime factorization of 43125 and 43145. After we will calculate the factors of 43125 and 43145 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43145

Prime factors of 43145 are 5, 8629. Prime factorization of 43145 in exponential form is:

43145 = 5¹ × 8629¹

Step-3: Factors of 43125

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

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

Step-4: Factors of 43145

List of positive integer factors of 43145 that divides 43125 without a remainder.

1, 5, 8629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43125 and 43145. The biggest common factor number is the GCF number.
So the greatest common factor 43125 and 43145 is 5.

Also check out the Least Common Multiple of 43125 and 43145