What is the Greatest Common Factor of 14656 and 14663?

Greatest common factor (GCF) of 14656 and 14663 is 1.

GCF(14656,14663) = 1

We will now calculate the prime factors of 14656 and 14663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14656 and 14663.

How to find the GCF of 14656 and 14663?

We will first find the prime factorization of 14656 and 14663. After we will calculate the factors of 14656 and 14663 and find the biggest common factor number .

Step-1: Prime Factorization of 14656

Prime factors of 14656 are 2, 229. Prime factorization of 14656 in exponential form is:

14656 = 2⁶ × 229¹

Step-2: Prime Factorization of 14663

Prime factors of 14663 are 11, 31, 43. Prime factorization of 14663 in exponential form is:

14663 = 11¹ × 31¹ × 43¹

Step-3: Factors of 14656

List of positive integer factors of 14656 that divides 14656 without a remainder.

1, 2, 4, 8, 16, 32, 64, 229, 458, 916, 1832, 3664, 7328

Step-4: Factors of 14663

List of positive integer factors of 14663 that divides 14656 without a remainder.

1, 11, 31, 43, 341, 473, 1333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14656 and 14663. The biggest common factor number is the GCF number.
So the greatest common factor 14656 and 14663 is 1.

Also check out the Least Common Multiple of 14656 and 14663