What is the Greatest Common Factor of 38041 and 38060?

Greatest common factor (GCF) of 38041 and 38060 is 1.

GCF(38041,38060) = 1

We will now calculate the prime factors of 38041 and 38060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38041 and 38060.

How to find the GCF of 38041 and 38060?

We will first find the prime factorization of 38041 and 38060. After we will calculate the factors of 38041 and 38060 and find the biggest common factor number .

Step-1: Prime Factorization of 38041

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

38041 = 109¹ × 349¹

Step-2: Prime Factorization of 38060

Prime factors of 38060 are 2, 5, 11, 173. Prime factorization of 38060 in exponential form is:

38060 = 2² × 5¹ × 11¹ × 173¹

Step-3: Factors of 38041

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

1, 109, 349

Step-4: Factors of 38060

List of positive integer factors of 38060 that divides 38041 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 173, 220, 346, 692, 865, 1730, 1903, 3460, 3806, 7612, 9515, 19030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38041 and 38060. The biggest common factor number is the GCF number.
So the greatest common factor 38041 and 38060 is 1.

Also check out the Least Common Multiple of 38041 and 38060