What is the Greatest Common Factor of 38122 and 38131?

Greatest common factor (GCF) of 38122 and 38131 is 1.

GCF(38122,38131) = 1

We will now calculate the prime factors of 38122 and 38131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38122 and 38131.

How to find the GCF of 38122 and 38131?

We will first find the prime factorization of 38122 and 38131. After we will calculate the factors of 38122 and 38131 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 38131

Prime factors of 38131 are 17, 2243. Prime factorization of 38131 in exponential form is:

38131 = 17¹ × 2243¹

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 38131

List of positive integer factors of 38131 that divides 38122 without a remainder.

1, 17, 2243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38122 and 38131. The biggest common factor number is the GCF number.
So the greatest common factor 38122 and 38131 is 1.

Also check out the Least Common Multiple of 38122 and 38131