What is the Greatest Common Factor of 17563 and 17573?

Greatest common factor (GCF) of 17563 and 17573 is 1.

GCF(17563,17573) = 1

We will now calculate the prime factors of 17563 and 17573, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17563 and 17573.

How to find the GCF of 17563 and 17573?

We will first find the prime factorization of 17563 and 17573. After we will calculate the factors of 17563 and 17573 and find the biggest common factor number .

Step-1: Prime Factorization of 17563

Prime factors of 17563 are 7, 13, 193. Prime factorization of 17563 in exponential form is:

17563 = 7¹ × 13¹ × 193¹

Step-2: Prime Factorization of 17573

Prime factors of 17573 are 17573. Prime factorization of 17573 in exponential form is:

17573 = 17573¹

Step-3: Factors of 17563

List of positive integer factors of 17563 that divides 17563 without a remainder.

1, 7, 13, 91, 193, 1351, 2509

Step-4: Factors of 17573

List of positive integer factors of 17573 that divides 17563 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17563 and 17573. The biggest common factor number is the GCF number.
So the greatest common factor 17563 and 17573 is 1.

Also check out the Least Common Multiple of 17563 and 17573