What is the Greatest Common Factor of 38784 and 38793?

Greatest common factor (GCF) of 38784 and 38793 is 3.

GCF(38784,38793) = 3

We will now calculate the prime factors of 38784 and 38793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38784 and 38793.

How to find the GCF of 38784 and 38793?

We will first find the prime factorization of 38784 and 38793. After we will calculate the factors of 38784 and 38793 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 38793

Prime factors of 38793 are 3, 67, 193. Prime factorization of 38793 in exponential form is:

38793 = 3¹ × 67¹ × 193¹

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 38793

List of positive integer factors of 38793 that divides 38784 without a remainder.

1, 3, 67, 193, 201, 579, 12931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38784 and 38793. The biggest common factor number is the GCF number.
So the greatest common factor 38784 and 38793 is 3.

Also check out the Least Common Multiple of 38784 and 38793