What is the Greatest Common Factor of 16125 and 16134?

Greatest common factor (GCF) of 16125 and 16134 is 3.

GCF(16125,16134) = 3

We will now calculate the prime factors of 16125 and 16134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16125 and 16134.

How to find the GCF of 16125 and 16134?

We will first find the prime factorization of 16125 and 16134. After we will calculate the factors of 16125 and 16134 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 16134

Prime factors of 16134 are 2, 3, 2689. Prime factorization of 16134 in exponential form is:

16134 = 2¹ × 3¹ × 2689¹

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 16134

List of positive integer factors of 16134 that divides 16125 without a remainder.

1, 2, 3, 6, 2689, 5378, 8067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16125 and 16134. The biggest common factor number is the GCF number.
So the greatest common factor 16125 and 16134 is 3.

Also check out the Least Common Multiple of 16125 and 16134