What is the Greatest Common Factor of 38784 and 38797?

Greatest common factor (GCF) of 38784 and 38797 is 1.

GCF(38784,38797) = 1

We will now calculate the prime factors of 38784 and 38797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38784 and 38797.

How to find the GCF of 38784 and 38797?

We will first find the prime factorization of 38784 and 38797. After we will calculate the factors of 38784 and 38797 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 38797

Prime factors of 38797 are 11, 3527. Prime factorization of 38797 in exponential form is:

38797 = 11¹ × 3527¹

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 38797

List of positive integer factors of 38797 that divides 38784 without a remainder.

1, 11, 3527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38784 and 38797. The biggest common factor number is the GCF number.
So the greatest common factor 38784 and 38797 is 1.

Also check out the Least Common Multiple of 38784 and 38797