What is the Greatest Common Factor of 17538 and 17557?

Greatest common factor (GCF) of 17538 and 17557 is 1.

GCF(17538,17557) = 1

We will now calculate the prime factors of 17538 and 17557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17538 and 17557.

How to find the GCF of 17538 and 17557?

We will first find the prime factorization of 17538 and 17557. After we will calculate the factors of 17538 and 17557 and find the biggest common factor number .

Step-1: Prime Factorization of 17538

Prime factors of 17538 are 2, 3, 37, 79. Prime factorization of 17538 in exponential form is:

17538 = 2¹ × 3¹ × 37¹ × 79¹

Step-2: Prime Factorization of 17557

Prime factors of 17557 are 97, 181. Prime factorization of 17557 in exponential form is:

17557 = 97¹ × 181¹

Step-3: Factors of 17538

List of positive integer factors of 17538 that divides 17538 without a remainder.

1, 2, 3, 6, 37, 74, 79, 111, 158, 222, 237, 474, 2923, 5846, 8769

Step-4: Factors of 17557

List of positive integer factors of 17557 that divides 17538 without a remainder.

1, 97, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17538 and 17557. The biggest common factor number is the GCF number.
So the greatest common factor 17538 and 17557 is 1.

Also check out the Least Common Multiple of 17538 and 17557