What is the Greatest Common Factor of 38766 and 38784?

Greatest common factor (GCF) of 38766 and 38784 is 6.

GCF(38766,38784) = 6

We will now calculate the prime factors of 38766 and 38784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38766 and 38784.

How to find the GCF of 38766 and 38784?

We will first find the prime factorization of 38766 and 38784. After we will calculate the factors of 38766 and 38784 and find the biggest common factor number .

Step-1: Prime Factorization of 38766

Prime factors of 38766 are 2, 3, 7, 13, 71. Prime factorization of 38766 in exponential form is:

38766 = 2¹ × 3¹ × 7¹ × 13¹ × 71¹

Step-2: 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-3: Factors of 38766

List of positive integer factors of 38766 that divides 38766 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 71, 78, 91, 142, 182, 213, 273, 426, 497, 546, 923, 994, 1491, 1846, 2769, 2982, 5538, 6461, 12922, 19383

Step-4: Factors of 38784

List of positive integer factors of 38784 that divides 38766 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38766 and 38784. The biggest common factor number is the GCF number.
So the greatest common factor 38766 and 38784 is 6.

Also check out the Least Common Multiple of 38766 and 38784