What is the Greatest Common Factor of 16128 and 16142?

Greatest common factor (GCF) of 16128 and 16142 is 14.

GCF(16128,16142) = 14

We will now calculate the prime factors of 16128 and 16142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16128 and 16142.

How to find the GCF of 16128 and 16142?

We will first find the prime factorization of 16128 and 16142. After we will calculate the factors of 16128 and 16142 and find the biggest common factor number .

Step-1: Prime Factorization of 16128

Prime factors of 16128 are 2, 3, 7. Prime factorization of 16128 in exponential form is:

16128 = 2⁸ × 3² × 7¹

Step-2: 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-3: Factors of 16128

List of positive integer factors of 16128 that divides 16128 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 256, 288, 336, 384, 448, 504, 576, 672, 768, 896, 1008, 1152, 1344, 1792, 2016, 2304, 2688, 4032, 5376, 8064

Step-4: Factors of 16142

List of positive integer factors of 16142 that divides 16128 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16128 and 16142. The biggest common factor number is the GCF number.
So the greatest common factor 16128 and 16142 is 14.

Also check out the Least Common Multiple of 16128 and 16142