What is the Greatest Common Factor of 16126 and 16132?

Greatest common factor (GCF) of 16126 and 16132 is 2.

GCF(16126,16132) = 2

We will now calculate the prime factors of 16126 and 16132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16126 and 16132.

How to find the GCF of 16126 and 16132?

We will first find the prime factorization of 16126 and 16132. After we will calculate the factors of 16126 and 16132 and find the biggest common factor number .

Step-1: 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-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 16126

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

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

Step-4: Factors of 16132

List of positive integer factors of 16132 that divides 16126 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 16126 and 16132. The biggest common factor number is the GCF number.
So the greatest common factor 16126 and 16132 is 2.

Also check out the Least Common Multiple of 16126 and 16132