What is the Greatest Common Factor of 16125 and 16141?

Greatest common factor (GCF) of 16125 and 16141 is 1.

GCF(16125,16141) = 1

We will now calculate the prime factors of 16125 and 16141, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16125 and 16141.

How to find the GCF of 16125 and 16141?

We will first find the prime factorization of 16125 and 16141. After we will calculate the factors of 16125 and 16141 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 16141

Prime factors of 16141 are 16141. Prime factorization of 16141 in exponential form is:

16141 = 16141¹

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 16141

List of positive integer factors of 16141 that divides 16125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16125 and 16141. The biggest common factor number is the GCF number.
So the greatest common factor 16125 and 16141 is 1.

Also check out the Least Common Multiple of 16125 and 16141