What is the Greatest Common Factor of 14084 and 14102?

Greatest common factor (GCF) of 14084 and 14102 is 2.

GCF(14084,14102) = 2

We will now calculate the prime factors of 14084 and 14102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14084 and 14102.

How to find the GCF of 14084 and 14102?

We will first find the prime factorization of 14084 and 14102. After we will calculate the factors of 14084 and 14102 and find the biggest common factor number .

Step-1: Prime Factorization of 14084

Prime factors of 14084 are 2, 7, 503. Prime factorization of 14084 in exponential form is:

14084 = 2² × 7¹ × 503¹

Step-2: Prime Factorization of 14102

Prime factors of 14102 are 2, 11, 641. Prime factorization of 14102 in exponential form is:

14102 = 2¹ × 11¹ × 641¹

Step-3: Factors of 14084

List of positive integer factors of 14084 that divides 14084 without a remainder.

1, 2, 4, 7, 14, 28, 503, 1006, 2012, 3521, 7042

Step-4: Factors of 14102

List of positive integer factors of 14102 that divides 14084 without a remainder.

1, 2, 11, 22, 641, 1282, 7051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14084 and 14102. The biggest common factor number is the GCF number.
So the greatest common factor 14084 and 14102 is 2.

Also check out the Least Common Multiple of 14084 and 14102