What is the Greatest Common Factor of 38754 and 38772?

Greatest common factor (GCF) of 38754 and 38772 is 18.

GCF(38754,38772) = 18

We will now calculate the prime factors of 38754 and 38772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38754 and 38772.

How to find the GCF of 38754 and 38772?

We will first find the prime factorization of 38754 and 38772. After we will calculate the factors of 38754 and 38772 and find the biggest common factor number .

Step-1: Prime Factorization of 38754

Prime factors of 38754 are 2, 3, 2153. Prime factorization of 38754 in exponential form is:

38754 = 2¹ × 3² × 2153¹

Step-2: Prime Factorization of 38772

Prime factors of 38772 are 2, 3, 359. Prime factorization of 38772 in exponential form is:

38772 = 2² × 3³ × 359¹

Step-3: Factors of 38754

List of positive integer factors of 38754 that divides 38754 without a remainder.

1, 2, 3, 6, 9, 18, 2153, 4306, 6459, 12918, 19377

Step-4: Factors of 38772

List of positive integer factors of 38772 that divides 38754 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 359, 718, 1077, 1436, 2154, 3231, 4308, 6462, 9693, 12924, 19386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38754 and 38772. The biggest common factor number is the GCF number.
So the greatest common factor 38754 and 38772 is 18.

Also check out the Least Common Multiple of 38754 and 38772