What is the Greatest Common Factor of 16129 and 16140?

Greatest common factor (GCF) of 16129 and 16140 is 1.

GCF(16129,16140) = 1

We will now calculate the prime factors of 16129 and 16140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16129 and 16140.

How to find the GCF of 16129 and 16140?

We will first find the prime factorization of 16129 and 16140. After we will calculate the factors of 16129 and 16140 and find the biggest common factor number .

Step-1: Prime Factorization of 16129

Prime factors of 16129 are 127. Prime factorization of 16129 in exponential form is:

16129 = 127²

Step-2: 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-3: Factors of 16129

List of positive integer factors of 16129 that divides 16129 without a remainder.

1, 127

Step-4: Factors of 16140

List of positive integer factors of 16140 that divides 16129 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16129 and 16140. The biggest common factor number is the GCF number.
So the greatest common factor 16129 and 16140 is 1.

Also check out the Least Common Multiple of 16129 and 16140