What is the Greatest Common Factor of 14272 and 14288?

Greatest common factor (GCF) of 14272 and 14288 is 16.

GCF(14272,14288) = 16

We will now calculate the prime factors of 14272 and 14288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14272 and 14288.

How to find the GCF of 14272 and 14288?

We will first find the prime factorization of 14272 and 14288. After we will calculate the factors of 14272 and 14288 and find the biggest common factor number .

Step-1: Prime Factorization of 14272

Prime factors of 14272 are 2, 223. Prime factorization of 14272 in exponential form is:

14272 = 2⁶ × 223¹

Step-2: Prime Factorization of 14288

Prime factors of 14288 are 2, 19, 47. Prime factorization of 14288 in exponential form is:

14288 = 2⁴ × 19¹ × 47¹

Step-3: Factors of 14272

List of positive integer factors of 14272 that divides 14272 without a remainder.

1, 2, 4, 8, 16, 32, 64, 223, 446, 892, 1784, 3568, 7136

Step-4: Factors of 14288

List of positive integer factors of 14288 that divides 14272 without a remainder.

1, 2, 4, 8, 16, 19, 38, 47, 76, 94, 152, 188, 304, 376, 752, 893, 1786, 3572, 7144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14272 and 14288. The biggest common factor number is the GCF number.
So the greatest common factor 14272 and 14288 is 16.

Also check out the Least Common Multiple of 14272 and 14288