What is the Greatest Common Factor of 38766 and 38774?

Greatest common factor (GCF) of 38766 and 38774 is 2.

GCF(38766,38774) = 2

We will now calculate the prime factors of 38766 and 38774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38766 and 38774.

How to find the GCF of 38766 and 38774?

We will first find the prime factorization of 38766 and 38774. After we will calculate the factors of 38766 and 38774 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 38774

Prime factors of 38774 are 2, 19387. Prime factorization of 38774 in exponential form is:

38774 = 2¹ × 19387¹

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 38774

List of positive integer factors of 38774 that divides 38766 without a remainder.

1, 2, 19387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38766 and 38774. The biggest common factor number is the GCF number.
So the greatest common factor 38766 and 38774 is 2.

Also check out the Least Common Multiple of 38766 and 38774