What is the Greatest Common Factor of 16109 and 16125?

Greatest common factor (GCF) of 16109 and 16125 is 1.

GCF(16109,16125) = 1

We will now calculate the prime factors of 16109 and 16125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16109 and 16125.

How to find the GCF of 16109 and 16125?

We will first find the prime factorization of 16109 and 16125. After we will calculate the factors of 16109 and 16125 and find the biggest common factor number .

Step-1: Prime Factorization of 16109

Prime factors of 16109 are 89, 181. Prime factorization of 16109 in exponential form is:

16109 = 89¹ × 181¹

Step-2: 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-3: Factors of 16109

List of positive integer factors of 16109 that divides 16109 without a remainder.

1, 89, 181

Step-4: Factors of 16125

List of positive integer factors of 16125 that divides 16109 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16109 and 16125. The biggest common factor number is the GCF number.
So the greatest common factor 16109 and 16125 is 1.

Also check out the Least Common Multiple of 16109 and 16125