What is the Greatest Common Factor of 16128 and 16140?

Greatest common factor (GCF) of 16128 and 16140 is 12.

GCF(16128,16140) = 12

We will now calculate the prime factors of 16128 and 16140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16128 and 16140.

How to find the GCF of 16128 and 16140?

We will first find the prime factorization of 16128 and 16140. After we will calculate the factors of 16128 and 16140 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 16140

Prime factors of 16140 are 2, 3, 5, 269. Prime factorization of 16140 in exponential form is:

16140 = 2² × 3¹ × 5¹ × 269¹

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 16140

List of positive integer factors of 16140 that divides 16128 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 269, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 8070

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16128 and 16140. The biggest common factor number is the GCF number.
So the greatest common factor 16128 and 16140 is 12.

Also check out the Least Common Multiple of 16128 and 16140