What is the Greatest Common Factor of 38024 and 38041?

Greatest common factor (GCF) of 38024 and 38041 is 1.

GCF(38024,38041) = 1

We will now calculate the prime factors of 38024 and 38041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38024 and 38041.

How to find the GCF of 38024 and 38041?

We will first find the prime factorization of 38024 and 38041. After we will calculate the factors of 38024 and 38041 and find the biggest common factor number .

Step-1: Prime Factorization of 38024

Prime factors of 38024 are 2, 7, 97. Prime factorization of 38024 in exponential form is:

38024 = 2³ × 7² × 97¹

Step-2: Prime Factorization of 38041

Prime factors of 38041 are 109, 349. Prime factorization of 38041 in exponential form is:

38041 = 109¹ × 349¹

Step-3: Factors of 38024

List of positive integer factors of 38024 that divides 38024 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 97, 98, 194, 196, 388, 392, 679, 776, 1358, 2716, 4753, 5432, 9506, 19012

Step-4: Factors of 38041

List of positive integer factors of 38041 that divides 38024 without a remainder.

1, 109, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38024 and 38041. The biggest common factor number is the GCF number.
So the greatest common factor 38024 and 38041 is 1.

Also check out the Least Common Multiple of 38024 and 38041