What is the Greatest Common Factor of 43114 and 43125?

Greatest common factor (GCF) of 43114 and 43125 is 1.

GCF(43114,43125) = 1

We will now calculate the prime factors of 43114 and 43125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43114 and 43125.

How to find the GCF of 43114 and 43125?

We will first find the prime factorization of 43114 and 43125. After we will calculate the factors of 43114 and 43125 and find the biggest common factor number .

Step-1: Prime Factorization of 43114

Prime factors of 43114 are 2, 21557. Prime factorization of 43114 in exponential form is:

43114 = 2¹ × 21557¹

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 43114

List of positive integer factors of 43114 that divides 43114 without a remainder.

1, 2, 21557

Step-4: Factors of 43125

List of positive integer factors of 43125 that divides 43114 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 43114 and 43125. The biggest common factor number is the GCF number.
So the greatest common factor 43114 and 43125 is 1.

Also check out the Least Common Multiple of 43114 and 43125