What is the Greatest Common Factor of 14124 and 14128?

Greatest common factor (GCF) of 14124 and 14128 is 4.

GCF(14124,14128) = 4

We will now calculate the prime factors of 14124 and 14128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14124 and 14128.

How to find the GCF of 14124 and 14128?

We will first find the prime factorization of 14124 and 14128. After we will calculate the factors of 14124 and 14128 and find the biggest common factor number .

Step-1: Prime Factorization of 14124

Prime factors of 14124 are 2, 3, 11, 107. Prime factorization of 14124 in exponential form is:

14124 = 2² × 3¹ × 11¹ × 107¹

Step-2: Prime Factorization of 14128

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

14128 = 2⁴ × 883¹

Step-3: Factors of 14124

List of positive integer factors of 14124 that divides 14124 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 107, 132, 214, 321, 428, 642, 1177, 1284, 2354, 3531, 4708, 7062

Step-4: Factors of 14128

List of positive integer factors of 14128 that divides 14124 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14124 and 14128. The biggest common factor number is the GCF number.
So the greatest common factor 14124 and 14128 is 4.

Also check out the Least Common Multiple of 14124 and 14128