What is the Greatest Common Factor of 38340 and 38359?

Greatest common factor (GCF) of 38340 and 38359 is 1.

GCF(38340,38359) = 1

We will now calculate the prime factors of 38340 and 38359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38340 and 38359.

How to find the GCF of 38340 and 38359?

We will first find the prime factorization of 38340 and 38359. After we will calculate the factors of 38340 and 38359 and find the biggest common factor number .

Step-1: Prime Factorization of 38340

Prime factors of 38340 are 2, 3, 5, 71. Prime factorization of 38340 in exponential form is:

38340 = 2² × 3³ × 5¹ × 71¹

Step-2: Prime Factorization of 38359

Prime factors of 38359 are 89, 431. Prime factorization of 38359 in exponential form is:

38359 = 89¹ × 431¹

Step-3: Factors of 38340

List of positive integer factors of 38340 that divides 38340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 71, 90, 108, 135, 142, 180, 213, 270, 284, 355, 426, 540, 639, 710, 852, 1065, 1278, 1420, 1917, 2130, 2556, 3195, 3834, 4260, 6390, 7668, 9585, 12780, 19170

Step-4: Factors of 38359

List of positive integer factors of 38359 that divides 38340 without a remainder.

1, 89, 431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38340 and 38359. The biggest common factor number is the GCF number.
So the greatest common factor 38340 and 38359 is 1.

Also check out the Least Common Multiple of 38340 and 38359