What is the Greatest Common Factor of 25920 and 25934?

Greatest common factor (GCF) of 25920 and 25934 is 2.

GCF(25920,25934) = 2

We will now calculate the prime factors of 25920 and 25934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25920 and 25934.

How to find the GCF of 25920 and 25934?

We will first find the prime factorization of 25920 and 25934. After we will calculate the factors of 25920 and 25934 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 25934

Prime factors of 25934 are 2, 12967. Prime factorization of 25934 in exponential form is:

25934 = 2¹ × 12967¹

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 25934

List of positive integer factors of 25934 that divides 25920 without a remainder.

1, 2, 12967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25920 and 25934. The biggest common factor number is the GCF number.
So the greatest common factor 25920 and 25934 is 2.

Also check out the Least Common Multiple of 25920 and 25934