What is the Greatest Common Factor of 14608 and 14627?

Greatest common factor (GCF) of 14608 and 14627 is 1.

GCF(14608,14627) = 1

We will now calculate the prime factors of 14608 and 14627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14608 and 14627.

How to find the GCF of 14608 and 14627?

We will first find the prime factorization of 14608 and 14627. After we will calculate the factors of 14608 and 14627 and find the biggest common factor number .

Step-1: Prime Factorization of 14608

Prime factors of 14608 are 2, 11, 83. Prime factorization of 14608 in exponential form is:

14608 = 2⁴ × 11¹ × 83¹

Step-2: Prime Factorization of 14627

Prime factors of 14627 are 14627. Prime factorization of 14627 in exponential form is:

14627 = 14627¹

Step-3: Factors of 14608

List of positive integer factors of 14608 that divides 14608 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 83, 88, 166, 176, 332, 664, 913, 1328, 1826, 3652, 7304

Step-4: Factors of 14627

List of positive integer factors of 14627 that divides 14608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14608 and 14627. The biggest common factor number is the GCF number.
So the greatest common factor 14608 and 14627 is 1.

Also check out the Least Common Multiple of 14608 and 14627