What is the Greatest Common Factor of 16128 and 16135?

Greatest common factor (GCF) of 16128 and 16135 is 7.

GCF(16128,16135) = 7

We will now calculate the prime factors of 16128 and 16135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16128 and 16135.

How to find the GCF of 16128 and 16135?

We will first find the prime factorization of 16128 and 16135. After we will calculate the factors of 16128 and 16135 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 16135

Prime factors of 16135 are 5, 7, 461. Prime factorization of 16135 in exponential form is:

16135 = 5¹ × 7¹ × 461¹

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 16135

List of positive integer factors of 16135 that divides 16128 without a remainder.

1, 5, 7, 35, 461, 2305, 3227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16128 and 16135. The biggest common factor number is the GCF number.
So the greatest common factor 16128 and 16135 is 7.

Also check out the Least Common Multiple of 16128 and 16135