What is the Greatest Common Factor of 38522 and 38526?

Greatest common factor (GCF) of 38522 and 38526 is 2.

GCF(38522,38526) = 2

We will now calculate the prime factors of 38522 and 38526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38522 and 38526.

How to find the GCF of 38522 and 38526?

We will first find the prime factorization of 38522 and 38526. After we will calculate the factors of 38522 and 38526 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 38526

Prime factors of 38526 are 2, 3, 6421. Prime factorization of 38526 in exponential form is:

38526 = 2¹ × 3¹ × 6421¹

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 38526

List of positive integer factors of 38526 that divides 38522 without a remainder.

1, 2, 3, 6, 6421, 12842, 19263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38522 and 38526. The biggest common factor number is the GCF number.
So the greatest common factor 38522 and 38526 is 2.

Also check out the Least Common Multiple of 38522 and 38526