What is the Greatest Common Factor of 14728 and 14736?

Greatest common factor (GCF) of 14728 and 14736 is 8.

GCF(14728,14736) = 8

We will now calculate the prime factors of 14728 and 14736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14728 and 14736.

How to find the GCF of 14728 and 14736?

We will first find the prime factorization of 14728 and 14736. After we will calculate the factors of 14728 and 14736 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 14736

Prime factors of 14736 are 2, 3, 307. Prime factorization of 14736 in exponential form is:

14736 = 2⁴ × 3¹ × 307¹

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 14736

List of positive integer factors of 14736 that divides 14728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 307, 614, 921, 1228, 1842, 2456, 3684, 4912, 7368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14728 and 14736. The biggest common factor number is the GCF number.
So the greatest common factor 14728 and 14736 is 8.

Also check out the Least Common Multiple of 14728 and 14736