What is the Greatest Common Factor of 20617 and 20628?

Greatest common factor (GCF) of 20617 and 20628 is 1.

GCF(20617,20628) = 1

We will now calculate the prime factors of 20617 and 20628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20617 and 20628.

How to find the GCF of 20617 and 20628?

We will first find the prime factorization of 20617 and 20628. After we will calculate the factors of 20617 and 20628 and find the biggest common factor number .

Step-1: Prime Factorization of 20617

Prime factors of 20617 are 53, 389. Prime factorization of 20617 in exponential form is:

20617 = 53¹ × 389¹

Step-2: Prime Factorization of 20628

Prime factors of 20628 are 2, 3, 191. Prime factorization of 20628 in exponential form is:

20628 = 2² × 3³ × 191¹

Step-3: Factors of 20617

List of positive integer factors of 20617 that divides 20617 without a remainder.

1, 53, 389

Step-4: Factors of 20628

List of positive integer factors of 20628 that divides 20617 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 5157, 6876, 10314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20617 and 20628. The biggest common factor number is the GCF number.
So the greatest common factor 20617 and 20628 is 1.

Also check out the Least Common Multiple of 20617 and 20628