What is the Greatest Common Factor of 16125 and 16144?

Greatest common factor (GCF) of 16125 and 16144 is 1.

GCF(16125,16144) = 1

We will now calculate the prime factors of 16125 and 16144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16125 and 16144.

How to find the GCF of 16125 and 16144?

We will first find the prime factorization of 16125 and 16144. After we will calculate the factors of 16125 and 16144 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 16144

Prime factors of 16144 are 2, 1009. Prime factorization of 16144 in exponential form is:

16144 = 2⁴ × 1009¹

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 16144

List of positive integer factors of 16144 that divides 16125 without a remainder.

1, 2, 4, 8, 16, 1009, 2018, 4036, 8072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16125 and 16144. The biggest common factor number is the GCF number.
So the greatest common factor 16125 and 16144 is 1.

Also check out the Least Common Multiple of 16125 and 16144