What is the Greatest Common Factor of 14128 and 14138?

Greatest common factor (GCF) of 14128 and 14138 is 2.

GCF(14128,14138) = 2

We will now calculate the prime factors of 14128 and 14138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14128 and 14138.

How to find the GCF of 14128 and 14138?

We will first find the prime factorization of 14128 and 14138. After we will calculate the factors of 14128 and 14138 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 14138

Prime factors of 14138 are 2, 7069. Prime factorization of 14138 in exponential form is:

14138 = 2¹ × 7069¹

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 14138

List of positive integer factors of 14138 that divides 14128 without a remainder.

1, 2, 7069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14128 and 14138. The biggest common factor number is the GCF number.
So the greatest common factor 14128 and 14138 is 2.

Also check out the Least Common Multiple of 14128 and 14138