What is the Greatest Common Factor of 38830 and 38834?

Greatest common factor (GCF) of 38830 and 38834 is 2.

GCF(38830,38834) = 2

We will now calculate the prime factors of 38830 and 38834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38830 and 38834.

How to find the GCF of 38830 and 38834?

We will first find the prime factorization of 38830 and 38834. After we will calculate the factors of 38830 and 38834 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 38834

Prime factors of 38834 are 2, 19417. Prime factorization of 38834 in exponential form is:

38834 = 2¹ × 19417¹

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 38834

List of positive integer factors of 38834 that divides 38830 without a remainder.

1, 2, 19417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38830 and 38834. The biggest common factor number is the GCF number.
So the greatest common factor 38830 and 38834 is 2.

Also check out the Least Common Multiple of 38830 and 38834