What is the Greatest Common Factor of 17611 and 17625?

Greatest common factor (GCF) of 17611 and 17625 is 1.

GCF(17611,17625) = 1

We will now calculate the prime factors of 17611 and 17625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17611 and 17625.

How to find the GCF of 17611 and 17625?

We will first find the prime factorization of 17611 and 17625. After we will calculate the factors of 17611 and 17625 and find the biggest common factor number .

Step-1: Prime Factorization of 17611

Prime factors of 17611 are 11, 1601. Prime factorization of 17611 in exponential form is:

17611 = 11¹ × 1601¹

Step-2: Prime Factorization of 17625

Prime factors of 17625 are 3, 5, 47. Prime factorization of 17625 in exponential form is:

17625 = 3¹ × 5³ × 47¹

Step-3: Factors of 17611

List of positive integer factors of 17611 that divides 17611 without a remainder.

1, 11, 1601

Step-4: Factors of 17625

List of positive integer factors of 17625 that divides 17611 without a remainder.

1, 3, 5, 15, 25, 47, 75, 125, 141, 235, 375, 705, 1175, 3525, 5875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17611 and 17625. The biggest common factor number is the GCF number.
So the greatest common factor 17611 and 17625 is 1.

Also check out the Least Common Multiple of 17611 and 17625