What is the Greatest Common Factor of 38800 and 38820?

Greatest common factor (GCF) of 38800 and 38820 is 20.

GCF(38800,38820) = 20

We will now calculate the prime factors of 38800 and 38820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38800 and 38820.

How to find the GCF of 38800 and 38820?

We will first find the prime factorization of 38800 and 38820. After we will calculate the factors of 38800 and 38820 and find the biggest common factor number .

Step-1: Prime Factorization of 38800

Prime factors of 38800 are 2, 5, 97. Prime factorization of 38800 in exponential form is:

38800 = 2⁴ × 5² × 97¹

Step-2: 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-3: Factors of 38800

List of positive integer factors of 38800 that divides 38800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 97, 100, 194, 200, 388, 400, 485, 776, 970, 1552, 1940, 2425, 3880, 4850, 7760, 9700, 19400

Step-4: Factors of 38820

List of positive integer factors of 38820 that divides 38800 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38800 and 38820. The biggest common factor number is the GCF number.
So the greatest common factor 38800 and 38820 is 20.

Also check out the Least Common Multiple of 38800 and 38820