What is the Greatest Common Factor of 16142 and 16152?

Greatest common factor (GCF) of 16142 and 16152 is 2.

GCF(16142,16152) = 2

We will now calculate the prime factors of 16142 and 16152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16142 and 16152.

How to find the GCF of 16142 and 16152?

We will first find the prime factorization of 16142 and 16152. After we will calculate the factors of 16142 and 16152 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 16152

Prime factors of 16152 are 2, 3, 673. Prime factorization of 16152 in exponential form is:

16152 = 2³ × 3¹ × 673¹

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 16152

List of positive integer factors of 16152 that divides 16142 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 673, 1346, 2019, 2692, 4038, 5384, 8076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16142 and 16152. The biggest common factor number is the GCF number.
So the greatest common factor 16142 and 16152 is 2.

Also check out the Least Common Multiple of 16142 and 16152