What is the Greatest Common Factor of 38060 and 38074?

Greatest common factor (GCF) of 38060 and 38074 is 2.

GCF(38060,38074) = 2

We will now calculate the prime factors of 38060 and 38074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38060 and 38074.

How to find the GCF of 38060 and 38074?

We will first find the prime factorization of 38060 and 38074. After we will calculate the factors of 38060 and 38074 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38074

Prime factors of 38074 are 2, 19037. Prime factorization of 38074 in exponential form is:

38074 = 2¹ × 19037¹

Step-3: Factors of 38060

List of positive integer factors of 38060 that divides 38060 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

Step-4: Factors of 38074

List of positive integer factors of 38074 that divides 38060 without a remainder.

1, 2, 19037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38060 and 38074. The biggest common factor number is the GCF number.
So the greatest common factor 38060 and 38074 is 2.

Also check out the Least Common Multiple of 38060 and 38074