What is the Greatest Common Factor of 14714 and 14728?

Greatest common factor (GCF) of 14714 and 14728 is 14.

GCF(14714,14728) = 14

We will now calculate the prime factors of 14714 and 14728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14714 and 14728.

How to find the GCF of 14714 and 14728?

We will first find the prime factorization of 14714 and 14728. After we will calculate the factors of 14714 and 14728 and find the biggest common factor number .

Step-1: Prime Factorization of 14714

Prime factors of 14714 are 2, 7, 1051. Prime factorization of 14714 in exponential form is:

14714 = 2¹ × 7¹ × 1051¹

Step-2: 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-3: Factors of 14714

List of positive integer factors of 14714 that divides 14714 without a remainder.

1, 2, 7, 14, 1051, 2102, 7357

Step-4: Factors of 14728

List of positive integer factors of 14728 that divides 14714 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14714 and 14728. The biggest common factor number is the GCF number.
So the greatest common factor 14714 and 14728 is 14.

Also check out the Least Common Multiple of 14714 and 14728