What is the Greatest Common Factor of 25920 and 25936?

Greatest common factor (GCF) of 25920 and 25936 is 16.

GCF(25920,25936) = 16

We will now calculate the prime factors of 25920 and 25936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25920 and 25936.

How to find the GCF of 25920 and 25936?

We will first find the prime factorization of 25920 and 25936. After we will calculate the factors of 25920 and 25936 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 25936

Prime factors of 25936 are 2, 1621. Prime factorization of 25936 in exponential form is:

25936 = 2⁴ × 1621¹

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 25936

List of positive integer factors of 25936 that divides 25920 without a remainder.

1, 2, 4, 8, 16, 1621, 3242, 6484, 12968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25920 and 25936. The biggest common factor number is the GCF number.
So the greatest common factor 25920 and 25936 is 16.

Also check out the Least Common Multiple of 25920 and 25936