What is the Greatest Common Factor of 38340 and 38358?

Greatest common factor (GCF) of 38340 and 38358 is 18.

GCF(38340,38358) = 18

We will now calculate the prime factors of 38340 and 38358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38340 and 38358.

How to find the GCF of 38340 and 38358?

We will first find the prime factorization of 38340 and 38358. After we will calculate the factors of 38340 and 38358 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 38358

Prime factors of 38358 are 2, 3, 2131. Prime factorization of 38358 in exponential form is:

38358 = 2¹ × 3² × 2131¹

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 38358

List of positive integer factors of 38358 that divides 38340 without a remainder.

1, 2, 3, 6, 9, 18, 2131, 4262, 6393, 12786, 19179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38340 and 38358. The biggest common factor number is the GCF number.
So the greatest common factor 38340 and 38358 is 18.

Also check out the Least Common Multiple of 38340 and 38358