What is the Greatest Common Factor of 38780 and 38800?

Greatest common factor (GCF) of 38780 and 38800 is 20.

GCF(38780,38800) = 20

We will now calculate the prime factors of 38780 and 38800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38780 and 38800.

How to find the GCF of 38780 and 38800?

We will first find the prime factorization of 38780 and 38800. After we will calculate the factors of 38780 and 38800 and find the biggest common factor number .

Step-1: Prime Factorization of 38780

Prime factors of 38780 are 2, 5, 7, 277. Prime factorization of 38780 in exponential form is:

38780 = 2² × 5¹ × 7¹ × 277¹

Step-2: 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-3: Factors of 38780

List of positive integer factors of 38780 that divides 38780 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 277, 554, 1108, 1385, 1939, 2770, 3878, 5540, 7756, 9695, 19390

Step-4: Factors of 38800

List of positive integer factors of 38800 that divides 38780 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38780 and 38800. The biggest common factor number is the GCF number.
So the greatest common factor 38780 and 38800 is 20.

Also check out the Least Common Multiple of 38780 and 38800