What is the Greatest Common Factor of 20608 and 20627?

Greatest common factor (GCF) of 20608 and 20627 is 1.

GCF(20608,20627) = 1

We will now calculate the prime factors of 20608 and 20627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20608 and 20627.

How to find the GCF of 20608 and 20627?

We will first find the prime factorization of 20608 and 20627. After we will calculate the factors of 20608 and 20627 and find the biggest common factor number .

Step-1: Prime Factorization of 20608

Prime factors of 20608 are 2, 7, 23. Prime factorization of 20608 in exponential form is:

20608 = 2⁷ × 7¹ × 23¹

Step-2: Prime Factorization of 20627

Prime factors of 20627 are 20627. Prime factorization of 20627 in exponential form is:

20627 = 20627¹

Step-3: Factors of 20608

List of positive integer factors of 20608 that divides 20608 without a remainder.

1, 2, 4, 7, 8, 14, 16, 23, 28, 32, 46, 56, 64, 92, 112, 128, 161, 184, 224, 322, 368, 448, 644, 736, 896, 1288, 1472, 2576, 2944, 5152, 10304

Step-4: Factors of 20627

List of positive integer factors of 20627 that divides 20608 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20608 and 20627. The biggest common factor number is the GCF number.
So the greatest common factor 20608 and 20627 is 1.

Also check out the Least Common Multiple of 20608 and 20627