What is the Greatest Common Factor of 25920 and 25938?

Greatest common factor (GCF) of 25920 and 25938 is 18.

GCF(25920,25938) = 18

We will now calculate the prime factors of 25920 and 25938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25920 and 25938.

How to find the GCF of 25920 and 25938?

We will first find the prime factorization of 25920 and 25938. After we will calculate the factors of 25920 and 25938 and find the biggest common factor number .

Step-1: Prime Factorization of 25920

Prime factors of 25920 are 2, 3, 5. Prime factorization of 25920 in exponential form is:

25920 = 2⁶ × 3⁴ × 5¹

Step-2: Prime Factorization of 25938

Prime factors of 25938 are 2, 3, 11, 131. Prime factorization of 25938 in exponential form is:

25938 = 2¹ × 3² × 11¹ × 131¹

Step-3: Factors of 25920

List of positive integer factors of 25920 that divides 25920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 81, 90, 96, 108, 120, 135, 144, 160, 162, 180, 192, 216, 240, 270, 288, 320, 324, 360, 405, 432, 480, 540, 576, 648, 720, 810, 864, 960, 1080, 1296, 1440, 1620, 1728, 2160, 2592, 2880, 3240, 4320, 5184, 6480, 8640, 12960

Step-4: Factors of 25938

List of positive integer factors of 25938 that divides 25920 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 131, 198, 262, 393, 786, 1179, 1441, 2358, 2882, 4323, 8646, 12969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25920 and 25938. The biggest common factor number is the GCF number.
So the greatest common factor 25920 and 25938 is 18.

Also check out the Least Common Multiple of 25920 and 25938