What is the Greatest Common Factor of 16140 and 16151?

Greatest common factor (GCF) of 16140 and 16151 is 1.

GCF(16140,16151) = 1

We will now calculate the prime factors of 16140 and 16151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16140 and 16151.

How to find the GCF of 16140 and 16151?

We will first find the prime factorization of 16140 and 16151. After we will calculate the factors of 16140 and 16151 and find the biggest common factor number .

Step-1: Prime Factorization of 16140

Prime factors of 16140 are 2, 3, 5, 269. Prime factorization of 16140 in exponential form is:

16140 = 2² × 3¹ × 5¹ × 269¹

Step-2: Prime Factorization of 16151

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

16151 = 31¹ × 521¹

Step-3: Factors of 16140

List of positive integer factors of 16140 that divides 16140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 269, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 8070

Step-4: Factors of 16151

List of positive integer factors of 16151 that divides 16140 without a remainder.

1, 31, 521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16140 and 16151. The biggest common factor number is the GCF number.
So the greatest common factor 16140 and 16151 is 1.

Also check out the Least Common Multiple of 16140 and 16151