What is the Greatest Common Factor of 17561 and 17577?

Greatest common factor (GCF) of 17561 and 17577 is 1.

GCF(17561,17577) = 1

We will now calculate the prime factors of 17561 and 17577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17561 and 17577.

How to find the GCF of 17561 and 17577?

We will first find the prime factorization of 17561 and 17577. After we will calculate the factors of 17561 and 17577 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 17577

Prime factors of 17577 are 3, 7, 31. Prime factorization of 17577 in exponential form is:

17577 = 3⁴ × 7¹ × 31¹

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 17577

List of positive integer factors of 17577 that divides 17561 without a remainder.

1, 3, 7, 9, 21, 27, 31, 63, 81, 93, 189, 217, 279, 567, 651, 837, 1953, 2511, 5859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17561 and 17577. The biggest common factor number is the GCF number.
So the greatest common factor 17561 and 17577 is 1.

Also check out the Least Common Multiple of 17561 and 17577