What is the Greatest Common Factor of 17538 and 17554?

Greatest common factor (GCF) of 17538 and 17554 is 2.

GCF(17538,17554) = 2

We will now calculate the prime factors of 17538 and 17554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17538 and 17554.

How to find the GCF of 17538 and 17554?

We will first find the prime factorization of 17538 and 17554. After we will calculate the factors of 17538 and 17554 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 17554

Prime factors of 17554 are 2, 67, 131. Prime factorization of 17554 in exponential form is:

17554 = 2¹ × 67¹ × 131¹

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 17554

List of positive integer factors of 17554 that divides 17538 without a remainder.

1, 2, 67, 131, 134, 262, 8777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17538 and 17554. The biggest common factor number is the GCF number.
So the greatest common factor 17538 and 17554 is 2.

Also check out the Least Common Multiple of 17538 and 17554