What is the Greatest Common Factor of 43125 and 43144?

Greatest common factor (GCF) of 43125 and 43144 is 1.

GCF(43125,43144) = 1

We will now calculate the prime factors of 43125 and 43144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43125 and 43144.

How to find the GCF of 43125 and 43144?

We will first find the prime factorization of 43125 and 43144. After we will calculate the factors of 43125 and 43144 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 43144

Prime factors of 43144 are 2, 5393. Prime factorization of 43144 in exponential form is:

43144 = 2³ × 5393¹

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 43144

List of positive integer factors of 43144 that divides 43125 without a remainder.

1, 2, 4, 8, 5393, 10786, 21572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43125 and 43144. The biggest common factor number is the GCF number.
So the greatest common factor 43125 and 43144 is 1.

Also check out the Least Common Multiple of 43125 and 43144