What is the Greatest Common Factor of 14036 and 14054?

Greatest common factor (GCF) of 14036 and 14054 is 2.

GCF(14036,14054) = 2

We will now calculate the prime factors of 14036 and 14054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14036 and 14054.

How to find the GCF of 14036 and 14054?

We will first find the prime factorization of 14036 and 14054. After we will calculate the factors of 14036 and 14054 and find the biggest common factor number .

Step-1: Prime Factorization of 14036

Prime factors of 14036 are 2, 11, 29. Prime factorization of 14036 in exponential form is:

14036 = 2² × 11² × 29¹

Step-2: Prime Factorization of 14054

Prime factors of 14054 are 2, 7027. Prime factorization of 14054 in exponential form is:

14054 = 2¹ × 7027¹

Step-3: Factors of 14036

List of positive integer factors of 14036 that divides 14036 without a remainder.

1, 2, 4, 11, 22, 29, 44, 58, 116, 121, 242, 319, 484, 638, 1276, 3509, 7018

Step-4: Factors of 14054

List of positive integer factors of 14054 that divides 14036 without a remainder.

1, 2, 7027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14036 and 14054. The biggest common factor number is the GCF number.
So the greatest common factor 14036 and 14054 is 2.

Also check out the Least Common Multiple of 14036 and 14054