What is the Greatest Common Factor of 38772 and 38790?

Greatest common factor (GCF) of 38772 and 38790 is 18.

GCF(38772,38790) = 18

We will now calculate the prime factors of 38772 and 38790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38772 and 38790.

How to find the GCF of 38772 and 38790?

We will first find the prime factorization of 38772 and 38790. After we will calculate the factors of 38772 and 38790 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 38790

Prime factors of 38790 are 2, 3, 5, 431. Prime factorization of 38790 in exponential form is:

38790 = 2¹ × 3² × 5¹ × 431¹

Step-3: Factors of 38772

List of positive integer factors of 38772 that divides 38772 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

Step-4: Factors of 38790

List of positive integer factors of 38790 that divides 38772 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 431, 862, 1293, 2155, 2586, 3879, 4310, 6465, 7758, 12930, 19395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38772 and 38790. The biggest common factor number is the GCF number.
So the greatest common factor 38772 and 38790 is 18.

Also check out the Least Common Multiple of 38772 and 38790