What is the Greatest Common Factor of 38054 and 38060?

Greatest common factor (GCF) of 38054 and 38060 is 2.

GCF(38054,38060) = 2

We will now calculate the prime factors of 38054 and 38060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38054 and 38060.

How to find the GCF of 38054 and 38060?

We will first find the prime factorization of 38054 and 38060. After we will calculate the factors of 38054 and 38060 and find the biggest common factor number .

Step-1: Prime Factorization of 38054

Prime factors of 38054 are 2, 53, 359. Prime factorization of 38054 in exponential form is:

38054 = 2¹ × 53¹ × 359¹

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 38054

List of positive integer factors of 38054 that divides 38054 without a remainder.

1, 2, 53, 106, 359, 718, 19027

Step-4: Factors of 38060

List of positive integer factors of 38060 that divides 38054 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 38054 and 38060. The biggest common factor number is the GCF number.
So the greatest common factor 38054 and 38060 is 2.

Also check out the Least Common Multiple of 38054 and 38060