What is the Greatest Common Factor of 14288 and 14307?

Greatest common factor (GCF) of 14288 and 14307 is 19.

GCF(14288,14307) = 19

We will now calculate the prime factors of 14288 and 14307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14288 and 14307.

How to find the GCF of 14288 and 14307?

We will first find the prime factorization of 14288 and 14307. After we will calculate the factors of 14288 and 14307 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14307

Prime factors of 14307 are 3, 19, 251. Prime factorization of 14307 in exponential form is:

14307 = 3¹ × 19¹ × 251¹

Step-3: Factors of 14288

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

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

Step-4: Factors of 14307

List of positive integer factors of 14307 that divides 14288 without a remainder.

1, 3, 19, 57, 251, 753, 4769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14288 and 14307. The biggest common factor number is the GCF number.
So the greatest common factor 14288 and 14307 is 19.

Also check out the Least Common Multiple of 14288 and 14307