What is the Greatest Common Factor of 14284 and 14296?

Greatest common factor (GCF) of 14284 and 14296 is 4.

GCF(14284,14296) = 4

We will now calculate the prime factors of 14284 and 14296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14284 and 14296.

How to find the GCF of 14284 and 14296?

We will first find the prime factorization of 14284 and 14296. After we will calculate the factors of 14284 and 14296 and find the biggest common factor number .

Step-1: Prime Factorization of 14284

Prime factors of 14284 are 2, 3571. Prime factorization of 14284 in exponential form is:

14284 = 2² × 3571¹

Step-2: Prime Factorization of 14296

Prime factors of 14296 are 2, 1787. Prime factorization of 14296 in exponential form is:

14296 = 2³ × 1787¹

Step-3: Factors of 14284

List of positive integer factors of 14284 that divides 14284 without a remainder.

1, 2, 4, 3571, 7142

Step-4: Factors of 14296

List of positive integer factors of 14296 that divides 14284 without a remainder.

1, 2, 4, 8, 1787, 3574, 7148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14284 and 14296. The biggest common factor number is the GCF number.
So the greatest common factor 14284 and 14296 is 4.

Also check out the Least Common Multiple of 14284 and 14296