What is the Greatest Common Factor of 16114 and 16126?

Greatest common factor (GCF) of 16114 and 16126 is 2.

GCF(16114,16126) = 2

We will now calculate the prime factors of 16114 and 16126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16114 and 16126.

How to find the GCF of 16114 and 16126?

We will first find the prime factorization of 16114 and 16126. After we will calculate the factors of 16114 and 16126 and find the biggest common factor number .

Step-1: Prime Factorization of 16114

Prime factors of 16114 are 2, 7, 1151. Prime factorization of 16114 in exponential form is:

16114 = 2¹ × 7¹ × 1151¹

Step-2: Prime Factorization of 16126

Prime factors of 16126 are 2, 11, 733. Prime factorization of 16126 in exponential form is:

16126 = 2¹ × 11¹ × 733¹

Step-3: Factors of 16114

List of positive integer factors of 16114 that divides 16114 without a remainder.

1, 2, 7, 14, 1151, 2302, 8057

Step-4: Factors of 16126

List of positive integer factors of 16126 that divides 16114 without a remainder.

1, 2, 11, 22, 733, 1466, 8063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16114 and 16126. The biggest common factor number is the GCF number.
So the greatest common factor 16114 and 16126 is 2.

Also check out the Least Common Multiple of 16114 and 16126