What is the Greatest Common Factor of 16151 and 16165?

Greatest common factor (GCF) of 16151 and 16165 is 1.

GCF(16151,16165) = 1

We will now calculate the prime factors of 16151 and 16165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16151 and 16165.

How to find the GCF of 16151 and 16165?

We will first find the prime factorization of 16151 and 16165. After we will calculate the factors of 16151 and 16165 and find the biggest common factor number .

Step-1: Prime Factorization of 16151

Prime factors of 16151 are 31, 521. Prime factorization of 16151 in exponential form is:

16151 = 31¹ × 521¹

Step-2: Prime Factorization of 16165

Prime factors of 16165 are 5, 53, 61. Prime factorization of 16165 in exponential form is:

16165 = 5¹ × 53¹ × 61¹

Step-3: Factors of 16151

List of positive integer factors of 16151 that divides 16151 without a remainder.

1, 31, 521

Step-4: Factors of 16165

List of positive integer factors of 16165 that divides 16151 without a remainder.

1, 5, 53, 61, 265, 305, 3233

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16151 and 16165. The biggest common factor number is the GCF number.
So the greatest common factor 16151 and 16165 is 1.

Also check out the Least Common Multiple of 16151 and 16165