What is the Greatest Common Factor of 14728 and 14734?

Greatest common factor (GCF) of 14728 and 14734 is 2.

GCF(14728,14734) = 2

We will now calculate the prime factors of 14728 and 14734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14728 and 14734.

How to find the GCF of 14728 and 14734?

We will first find the prime factorization of 14728 and 14734. After we will calculate the factors of 14728 and 14734 and find the biggest common factor number .

Step-1: Prime Factorization of 14728

Prime factors of 14728 are 2, 7, 263. Prime factorization of 14728 in exponential form is:

14728 = 2³ × 7¹ × 263¹

Step-2: Prime Factorization of 14734

Prime factors of 14734 are 2, 53, 139. Prime factorization of 14734 in exponential form is:

14734 = 2¹ × 53¹ × 139¹

Step-3: Factors of 14728

List of positive integer factors of 14728 that divides 14728 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 263, 526, 1052, 1841, 2104, 3682, 7364

Step-4: Factors of 14734

List of positive integer factors of 14734 that divides 14728 without a remainder.

1, 2, 53, 106, 139, 278, 7367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14728 and 14734. The biggest common factor number is the GCF number.
So the greatest common factor 14728 and 14734 is 2.

Also check out the Least Common Multiple of 14728 and 14734