What is the Greatest Common Factor of 16125 and 16139?

Greatest common factor (GCF) of 16125 and 16139 is 1.

GCF(16125,16139) = 1

We will now calculate the prime factors of 16125 and 16139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16125 and 16139.

How to find the GCF of 16125 and 16139?

We will first find the prime factorization of 16125 and 16139. After we will calculate the factors of 16125 and 16139 and find the biggest common factor number .

Step-1: Prime Factorization of 16125

Prime factors of 16125 are 3, 5, 43. Prime factorization of 16125 in exponential form is:

16125 = 3¹ × 5³ × 43¹

Step-2: Prime Factorization of 16139

Prime factors of 16139 are 16139. Prime factorization of 16139 in exponential form is:

16139 = 16139¹

Step-3: Factors of 16125

List of positive integer factors of 16125 that divides 16125 without a remainder.

1, 3, 5, 15, 25, 43, 75, 125, 129, 215, 375, 645, 1075, 3225, 5375

Step-4: Factors of 16139

List of positive integer factors of 16139 that divides 16125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16125 and 16139. The biggest common factor number is the GCF number.
So the greatest common factor 16125 and 16139 is 1.

Also check out the Least Common Multiple of 16125 and 16139