What is the Greatest Common Factor of 38122 and 38126?

Greatest common factor (GCF) of 38122 and 38126 is 2.

GCF(38122,38126) = 2

We will now calculate the prime factors of 38122 and 38126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38122 and 38126.

How to find the GCF of 38122 and 38126?

We will first find the prime factorization of 38122 and 38126. After we will calculate the factors of 38122 and 38126 and find the biggest common factor number .

Step-1: Prime Factorization of 38122

Prime factors of 38122 are 2, 7, 389. Prime factorization of 38122 in exponential form is:

38122 = 2¹ × 7² × 389¹

Step-2: Prime Factorization of 38126

Prime factors of 38126 are 2, 11, 1733. Prime factorization of 38126 in exponential form is:

38126 = 2¹ × 11¹ × 1733¹

Step-3: Factors of 38122

List of positive integer factors of 38122 that divides 38122 without a remainder.

1, 2, 7, 14, 49, 98, 389, 778, 2723, 5446, 19061

Step-4: Factors of 38126

List of positive integer factors of 38126 that divides 38122 without a remainder.

1, 2, 11, 22, 1733, 3466, 19063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38122 and 38126. The biggest common factor number is the GCF number.
So the greatest common factor 38122 and 38126 is 2.

Also check out the Least Common Multiple of 38122 and 38126