What is the Greatest Common Factor of 38784 and 38788?

Greatest common factor (GCF) of 38784 and 38788 is 4.

GCF(38784,38788) = 4

We will now calculate the prime factors of 38784 and 38788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38784 and 38788.

How to find the GCF of 38784 and 38788?

We will first find the prime factorization of 38784 and 38788. After we will calculate the factors of 38784 and 38788 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 38788

Prime factors of 38788 are 2, 9697. Prime factorization of 38788 in exponential form is:

38788 = 2² × 9697¹

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 38788

List of positive integer factors of 38788 that divides 38784 without a remainder.

1, 2, 4, 9697, 19394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38784 and 38788. The biggest common factor number is the GCF number.
So the greatest common factor 38784 and 38788 is 4.

Also check out the Least Common Multiple of 38784 and 38788