What is the Greatest Common Factor of 17538 and 17547?

Greatest common factor (GCF) of 17538 and 17547 is 3.

GCF(17538,17547) = 3

We will now calculate the prime factors of 17538 and 17547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17538 and 17547.

How to find the GCF of 17538 and 17547?

We will first find the prime factorization of 17538 and 17547. After we will calculate the factors of 17538 and 17547 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 17547

Prime factors of 17547 are 3, 5849. Prime factorization of 17547 in exponential form is:

17547 = 3¹ × 5849¹

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 17547

List of positive integer factors of 17547 that divides 17538 without a remainder.

1, 3, 5849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17538 and 17547. The biggest common factor number is the GCF number.
So the greatest common factor 17538 and 17547 is 3.

Also check out the Least Common Multiple of 17538 and 17547