What is the Greatest Common Factor of 14736 and 14744?

Greatest common factor (GCF) of 14736 and 14744 is 8.

GCF(14736,14744) = 8

We will now calculate the prime factors of 14736 and 14744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14736 and 14744.

How to find the GCF of 14736 and 14744?

We will first find the prime factorization of 14736 and 14744. After we will calculate the factors of 14736 and 14744 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14744

Prime factors of 14744 are 2, 19, 97. Prime factorization of 14744 in exponential form is:

14744 = 2³ × 19¹ × 97¹

Step-3: Factors of 14736

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

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

Step-4: Factors of 14744

List of positive integer factors of 14744 that divides 14736 without a remainder.

1, 2, 4, 8, 19, 38, 76, 97, 152, 194, 388, 776, 1843, 3686, 7372

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14736 and 14744. The biggest common factor number is the GCF number.
So the greatest common factor 14736 and 14744 is 8.

Also check out the Least Common Multiple of 14736 and 14744