What is the Greatest Common Factor of 38522 and 38538?

Greatest common factor (GCF) of 38522 and 38538 is 2.

GCF(38522,38538) = 2

We will now calculate the prime factors of 38522 and 38538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38522 and 38538.

How to find the GCF of 38522 and 38538?

We will first find the prime factorization of 38522 and 38538. After we will calculate the factors of 38522 and 38538 and find the biggest common factor number .

Step-1: Prime Factorization of 38522

Prime factors of 38522 are 2, 11, 17, 103. Prime factorization of 38522 in exponential form is:

38522 = 2¹ × 11¹ × 17¹ × 103¹

Step-2: Prime Factorization of 38538

Prime factors of 38538 are 2, 3, 2141. Prime factorization of 38538 in exponential form is:

38538 = 2¹ × 3² × 2141¹

Step-3: Factors of 38522

List of positive integer factors of 38522 that divides 38522 without a remainder.

1, 2, 11, 17, 22, 34, 103, 187, 206, 374, 1133, 1751, 2266, 3502, 19261

Step-4: Factors of 38538

List of positive integer factors of 38538 that divides 38522 without a remainder.

1, 2, 3, 6, 9, 18, 2141, 4282, 6423, 12846, 19269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38522 and 38538. The biggest common factor number is the GCF number.
So the greatest common factor 38522 and 38538 is 2.

Also check out the Least Common Multiple of 38522 and 38538