What is the Greatest Common Factor of 17522 and 17538?

Greatest common factor (GCF) of 17522 and 17538 is 2.

GCF(17522,17538) = 2

We will now calculate the prime factors of 17522 and 17538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17522 and 17538.

How to find the GCF of 17522 and 17538?

We will first find the prime factorization of 17522 and 17538. After we will calculate the factors of 17522 and 17538 and find the biggest common factor number .

Step-1: Prime Factorization of 17522

Prime factors of 17522 are 2, 8761. Prime factorization of 17522 in exponential form is:

17522 = 2¹ × 8761¹

Step-2: 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-3: Factors of 17522

List of positive integer factors of 17522 that divides 17522 without a remainder.

1, 2, 8761

Step-4: Factors of 17538

List of positive integer factors of 17538 that divides 17522 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17522 and 17538. The biggest common factor number is the GCF number.
So the greatest common factor 17522 and 17538 is 2.

Also check out the Least Common Multiple of 17522 and 17538