What is the Greatest Common Factor of 17561 and 17567?

Greatest common factor (GCF) of 17561 and 17567 is 1.

GCF(17561,17567) = 1

We will now calculate the prime factors of 17561 and 17567, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17561 and 17567.

How to find the GCF of 17561 and 17567?

We will first find the prime factorization of 17561 and 17567. After we will calculate the factors of 17561 and 17567 and find the biggest common factor number .

Step-1: Prime Factorization of 17561

Prime factors of 17561 are 17, 1033. Prime factorization of 17561 in exponential form is:

17561 = 17¹ × 1033¹

Step-2: Prime Factorization of 17567

Prime factors of 17567 are 11, 1597. Prime factorization of 17567 in exponential form is:

17567 = 11¹ × 1597¹

Step-3: Factors of 17561

List of positive integer factors of 17561 that divides 17561 without a remainder.

1, 17, 1033

Step-4: Factors of 17567

List of positive integer factors of 17567 that divides 17561 without a remainder.

1, 11, 1597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17561 and 17567. The biggest common factor number is the GCF number.
So the greatest common factor 17561 and 17567 is 1.

Also check out the Least Common Multiple of 17561 and 17567