What is the Greatest Common Factor of 14128 and 14144?

Greatest common factor (GCF) of 14128 and 14144 is 16.

GCF(14128,14144) = 16

We will now calculate the prime factors of 14128 and 14144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14128 and 14144.

How to find the GCF of 14128 and 14144?

We will first find the prime factorization of 14128 and 14144. After we will calculate the factors of 14128 and 14144 and find the biggest common factor number .

Step-1: Prime Factorization of 14128

Prime factors of 14128 are 2, 883. Prime factorization of 14128 in exponential form is:

14128 = 2⁴ × 883¹

Step-2: Prime Factorization of 14144

Prime factors of 14144 are 2, 13, 17. Prime factorization of 14144 in exponential form is:

14144 = 2⁶ × 13¹ × 17¹

Step-3: Factors of 14128

List of positive integer factors of 14128 that divides 14128 without a remainder.

1, 2, 4, 8, 16, 883, 1766, 3532, 7064

Step-4: Factors of 14144

List of positive integer factors of 14144 that divides 14128 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 136, 208, 221, 272, 416, 442, 544, 832, 884, 1088, 1768, 3536, 7072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14128 and 14144. The biggest common factor number is the GCF number.
So the greatest common factor 14128 and 14144 is 16.

Also check out the Least Common Multiple of 14128 and 14144