What is the Greatest Common Factor of 17608 and 17627?

Greatest common factor (GCF) of 17608 and 17627 is 1.

GCF(17608,17627) = 1

We will now calculate the prime factors of 17608 and 17627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17608 and 17627.

How to find the GCF of 17608 and 17627?

We will first find the prime factorization of 17608 and 17627. After we will calculate the factors of 17608 and 17627 and find the biggest common factor number .

Step-1: Prime Factorization of 17608

Prime factors of 17608 are 2, 31, 71. Prime factorization of 17608 in exponential form is:

17608 = 2³ × 31¹ × 71¹

Step-2: Prime Factorization of 17627

Prime factors of 17627 are 17627. Prime factorization of 17627 in exponential form is:

17627 = 17627¹

Step-3: Factors of 17608

List of positive integer factors of 17608 that divides 17608 without a remainder.

1, 2, 4, 8, 31, 62, 71, 124, 142, 248, 284, 568, 2201, 4402, 8804

Step-4: Factors of 17627

List of positive integer factors of 17627 that divides 17608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17608 and 17627. The biggest common factor number is the GCF number.
So the greatest common factor 17608 and 17627 is 1.

Also check out the Least Common Multiple of 17608 and 17627