What is the Greatest Common Factor of 17561 and 17578?

Greatest common factor (GCF) of 17561 and 17578 is 17.

GCF(17561,17578) = 17

We will now calculate the prime factors of 17561 and 17578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17561 and 17578.

How to find the GCF of 17561 and 17578?

We will first find the prime factorization of 17561 and 17578. After we will calculate the factors of 17561 and 17578 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 17578

Prime factors of 17578 are 2, 11, 17, 47. Prime factorization of 17578 in exponential form is:

17578 = 2¹ × 11¹ × 17¹ × 47¹

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 17578

List of positive integer factors of 17578 that divides 17561 without a remainder.

1, 2, 11, 17, 22, 34, 47, 94, 187, 374, 517, 799, 1034, 1598, 8789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17561 and 17578. The biggest common factor number is the GCF number.
So the greatest common factor 17561 and 17578 is 17.

Also check out the Least Common Multiple of 17561 and 17578