What is the Greatest Common Factor of 38784 and 38798?

Greatest common factor (GCF) of 38784 and 38798 is 2.

GCF(38784,38798) = 2

We will now calculate the prime factors of 38784 and 38798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38784 and 38798.

How to find the GCF of 38784 and 38798?

We will first find the prime factorization of 38784 and 38798. After we will calculate the factors of 38784 and 38798 and find the biggest common factor number .

Step-1: Prime Factorization of 38784

Prime factors of 38784 are 2, 3, 101. Prime factorization of 38784 in exponential form is:

38784 = 2⁷ × 3¹ × 101¹

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 38784

List of positive integer factors of 38784 that divides 38784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 101, 128, 192, 202, 303, 384, 404, 606, 808, 1212, 1616, 2424, 3232, 4848, 6464, 9696, 12928, 19392

Step-4: Factors of 38798

List of positive integer factors of 38798 that divides 38784 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38784 and 38798. The biggest common factor number is the GCF number.
So the greatest common factor 38784 and 38798 is 2.

Also check out the Least Common Multiple of 38784 and 38798