What is the Greatest Common Factor of 14036 and 14046?

Greatest common factor (GCF) of 14036 and 14046 is 2.

GCF(14036,14046) = 2

We will now calculate the prime factors of 14036 and 14046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14036 and 14046.

How to find the GCF of 14036 and 14046?

We will first find the prime factorization of 14036 and 14046. After we will calculate the factors of 14036 and 14046 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 14046

Prime factors of 14046 are 2, 3, 2341. Prime factorization of 14046 in exponential form is:

14046 = 2¹ × 3¹ × 2341¹

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 14046

List of positive integer factors of 14046 that divides 14036 without a remainder.

1, 2, 3, 6, 2341, 4682, 7023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14036 and 14046. The biggest common factor number is the GCF number.
So the greatest common factor 14036 and 14046 is 2.

Also check out the Least Common Multiple of 14036 and 14046