What is the Greatest Common Factor of 37830 and 37838?

Greatest common factor (GCF) of 37830 and 37838 is 2.

GCF(37830,37838) = 2

We will now calculate the prime factors of 37830 and 37838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37830 and 37838.

How to find the GCF of 37830 and 37838?

We will first find the prime factorization of 37830 and 37838. After we will calculate the factors of 37830 and 37838 and find the biggest common factor number .

Step-1: Prime Factorization of 37830

Prime factors of 37830 are 2, 3, 5, 13, 97. Prime factorization of 37830 in exponential form is:

37830 = 2¹ × 3¹ × 5¹ × 13¹ × 97¹

Step-2: Prime Factorization of 37838

Prime factors of 37838 are 2, 18919. Prime factorization of 37838 in exponential form is:

37838 = 2¹ × 18919¹

Step-3: Factors of 37830

List of positive integer factors of 37830 that divides 37830 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 97, 130, 194, 195, 291, 390, 485, 582, 970, 1261, 1455, 2522, 2910, 3783, 6305, 7566, 12610, 18915

Step-4: Factors of 37838

List of positive integer factors of 37838 that divides 37830 without a remainder.

1, 2, 18919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37830 and 37838. The biggest common factor number is the GCF number.
So the greatest common factor 37830 and 37838 is 2.

Also check out the Least Common Multiple of 37830 and 37838