What is the Greatest Common Factor of 38830 and 38845?

Greatest common factor (GCF) of 38830 and 38845 is 5.

GCF(38830,38845) = 5

We will now calculate the prime factors of 38830 and 38845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38830 and 38845.

How to find the GCF of 38830 and 38845?

We will first find the prime factorization of 38830 and 38845. After we will calculate the factors of 38830 and 38845 and find the biggest common factor number .

Step-1: Prime Factorization of 38830

Prime factors of 38830 are 2, 5, 11, 353. Prime factorization of 38830 in exponential form is:

38830 = 2¹ × 5¹ × 11¹ × 353¹

Step-2: Prime Factorization of 38845

Prime factors of 38845 are 5, 17, 457. Prime factorization of 38845 in exponential form is:

38845 = 5¹ × 17¹ × 457¹

Step-3: Factors of 38830

List of positive integer factors of 38830 that divides 38830 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 353, 706, 1765, 3530, 3883, 7766, 19415

Step-4: Factors of 38845

List of positive integer factors of 38845 that divides 38830 without a remainder.

1, 5, 17, 85, 457, 2285, 7769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38830 and 38845. The biggest common factor number is the GCF number.
So the greatest common factor 38830 and 38845 is 5.

Also check out the Least Common Multiple of 38830 and 38845