What is the Greatest Common Factor of 38780 and 38798?

Greatest common factor (GCF) of 38780 and 38798 is 2.

GCF(38780,38798) = 2

We will now calculate the prime factors of 38780 and 38798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38780 and 38798.

How to find the GCF of 38780 and 38798?

We will first find the prime factorization of 38780 and 38798. After we will calculate the factors of 38780 and 38798 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 38798

Prime factors of 38798 are 2, 19, 1021. Prime factorization of 38798 in exponential form is:

38798 = 2¹ × 19¹ × 1021¹

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 38798

List of positive integer factors of 38798 that divides 38780 without a remainder.

1, 2, 19, 38, 1021, 2042, 19399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38780 and 38798. The biggest common factor number is the GCF number.
So the greatest common factor 38780 and 38798 is 2.

Also check out the Least Common Multiple of 38780 and 38798