What is the Greatest Common Factor of 16125 and 16132?

Greatest common factor (GCF) of 16125 and 16132 is 1.

GCF(16125,16132) = 1

We will now calculate the prime factors of 16125 and 16132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16125 and 16132.

How to find the GCF of 16125 and 16132?

We will first find the prime factorization of 16125 and 16132. After we will calculate the factors of 16125 and 16132 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 16132

Prime factors of 16132 are 2, 37, 109. Prime factorization of 16132 in exponential form is:

16132 = 2² × 37¹ × 109¹

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 16132

List of positive integer factors of 16132 that divides 16125 without a remainder.

1, 2, 4, 37, 74, 109, 148, 218, 436, 4033, 8066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16125 and 16132. The biggest common factor number is the GCF number.
So the greatest common factor 16125 and 16132 is 1.

Also check out the Least Common Multiple of 16125 and 16132