What is the Greatest Common Factor of 16142 and 16154?

Greatest common factor (GCF) of 16142 and 16154 is 2.

GCF(16142,16154) = 2

We will now calculate the prime factors of 16142 and 16154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16142 and 16154.

How to find the GCF of 16142 and 16154?

We will first find the prime factorization of 16142 and 16154. After we will calculate the factors of 16142 and 16154 and find the biggest common factor number .

Step-1: Prime Factorization of 16142

Prime factors of 16142 are 2, 7, 1153. Prime factorization of 16142 in exponential form is:

16142 = 2¹ × 7¹ × 1153¹

Step-2: Prime Factorization of 16154

Prime factors of 16154 are 2, 41, 197. Prime factorization of 16154 in exponential form is:

16154 = 2¹ × 41¹ × 197¹

Step-3: Factors of 16142

List of positive integer factors of 16142 that divides 16142 without a remainder.

1, 2, 7, 14, 1153, 2306, 8071

Step-4: Factors of 16154

List of positive integer factors of 16154 that divides 16142 without a remainder.

1, 2, 41, 82, 197, 394, 8077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16142 and 16154. The biggest common factor number is the GCF number.
So the greatest common factor 16142 and 16154 is 2.

Also check out the Least Common Multiple of 16142 and 16154