What is the Greatest Common Factor of 20553 and 20561?

Greatest common factor (GCF) of 20553 and 20561 is 1.

GCF(20553,20561) = 1

We will now calculate the prime factors of 20553 and 20561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20553 and 20561.

How to find the GCF of 20553 and 20561?

We will first find the prime factorization of 20553 and 20561. After we will calculate the factors of 20553 and 20561 and find the biggest common factor number .

Step-1: Prime Factorization of 20553

Prime factors of 20553 are 3, 13, 17, 31. Prime factorization of 20553 in exponential form is:

20553 = 3¹ × 13¹ × 17¹ × 31¹

Step-2: Prime Factorization of 20561

Prime factors of 20561 are 29, 709. Prime factorization of 20561 in exponential form is:

20561 = 29¹ × 709¹

Step-3: Factors of 20553

List of positive integer factors of 20553 that divides 20553 without a remainder.

1, 3, 13, 17, 31, 39, 51, 93, 221, 403, 527, 663, 1209, 1581, 6851

Step-4: Factors of 20561

List of positive integer factors of 20561 that divides 20553 without a remainder.

1, 29, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20553 and 20561. The biggest common factor number is the GCF number.
So the greatest common factor 20553 and 20561 is 1.

Also check out the Least Common Multiple of 20553 and 20561