What is the Greatest Common Factor of 39240 and 39258?

Greatest common factor (GCF) of 39240 and 39258 is 18.

GCF(39240,39258) = 18

We will now calculate the prime factors of 39240 and 39258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39240 and 39258.

How to find the GCF of 39240 and 39258?

We will first find the prime factorization of 39240 and 39258. After we will calculate the factors of 39240 and 39258 and find the biggest common factor number .

Step-1: Prime Factorization of 39240

Prime factors of 39240 are 2, 3, 5, 109. Prime factorization of 39240 in exponential form is:

39240 = 2³ × 3² × 5¹ × 109¹

Step-2: Prime Factorization of 39258

Prime factors of 39258 are 2, 3, 727. Prime factorization of 39258 in exponential form is:

39258 = 2¹ × 3³ × 727¹

Step-3: Factors of 39240

List of positive integer factors of 39240 that divides 39240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 109, 120, 180, 218, 327, 360, 436, 545, 654, 872, 981, 1090, 1308, 1635, 1962, 2180, 2616, 3270, 3924, 4360, 4905, 6540, 7848, 9810, 13080, 19620

Step-4: Factors of 39258

List of positive integer factors of 39258 that divides 39240 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 727, 1454, 2181, 4362, 6543, 13086, 19629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39240 and 39258. The biggest common factor number is the GCF number.
So the greatest common factor 39240 and 39258 is 18.

Also check out the Least Common Multiple of 39240 and 39258