What is the Greatest Common Factor of 20617 and 20632?

Greatest common factor (GCF) of 20617 and 20632 is 1.

GCF(20617,20632) = 1

We will now calculate the prime factors of 20617 and 20632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20617 and 20632.

How to find the GCF of 20617 and 20632?

We will first find the prime factorization of 20617 and 20632. After we will calculate the factors of 20617 and 20632 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 20632

Prime factors of 20632 are 2, 2579. Prime factorization of 20632 in exponential form is:

20632 = 2³ × 2579¹

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 20632

List of positive integer factors of 20632 that divides 20617 without a remainder.

1, 2, 4, 8, 2579, 5158, 10316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20617 and 20632. The biggest common factor number is the GCF number.
So the greatest common factor 20617 and 20632 is 1.

Also check out the Least Common Multiple of 20617 and 20632