What is the Greatest Common Factor of 38820 and 38834?

Greatest common factor (GCF) of 38820 and 38834 is 2.

GCF(38820,38834) = 2

We will now calculate the prime factors of 38820 and 38834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38820 and 38834.

How to find the GCF of 38820 and 38834?

We will first find the prime factorization of 38820 and 38834. After we will calculate the factors of 38820 and 38834 and find the biggest common factor number .

Step-1: Prime Factorization of 38820

Prime factors of 38820 are 2, 3, 5, 647. Prime factorization of 38820 in exponential form is:

38820 = 2² × 3¹ × 5¹ × 647¹

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 38820

List of positive integer factors of 38820 that divides 38820 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 647, 1294, 1941, 2588, 3235, 3882, 6470, 7764, 9705, 12940, 19410

Step-4: Factors of 38834

List of positive integer factors of 38834 that divides 38820 without a remainder.

1, 2, 19417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38820 and 38834. The biggest common factor number is the GCF number.
So the greatest common factor 38820 and 38834 is 2.

Also check out the Least Common Multiple of 38820 and 38834