What is the Greatest Common Factor of 38766 and 38783?

Greatest common factor (GCF) of 38766 and 38783 is 1.

GCF(38766,38783) = 1

We will now calculate the prime factors of 38766 and 38783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38766 and 38783.

How to find the GCF of 38766 and 38783?

We will first find the prime factorization of 38766 and 38783. After we will calculate the factors of 38766 and 38783 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 38783

Prime factors of 38783 are 38783. Prime factorization of 38783 in exponential form is:

38783 = 38783¹

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 38783

List of positive integer factors of 38783 that divides 38766 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38766 and 38783. The biggest common factor number is the GCF number.
So the greatest common factor 38766 and 38783 is 1.

Also check out the Least Common Multiple of 38766 and 38783