What is the Greatest Common Factor of 25504 and 25520?

Greatest common factor (GCF) of 25504 and 25520 is 16.

GCF(25504,25520) = 16

We will now calculate the prime factors of 25504 and 25520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25504 and 25520.

How to find the GCF of 25504 and 25520?

We will first find the prime factorization of 25504 and 25520. After we will calculate the factors of 25504 and 25520 and find the biggest common factor number .

Step-1: Prime Factorization of 25504

Prime factors of 25504 are 2, 797. Prime factorization of 25504 in exponential form is:

25504 = 2⁵ × 797¹

Step-2: Prime Factorization of 25520

Prime factors of 25520 are 2, 5, 11, 29. Prime factorization of 25520 in exponential form is:

25520 = 2⁴ × 5¹ × 11¹ × 29¹

Step-3: Factors of 25504

List of positive integer factors of 25504 that divides 25504 without a remainder.

1, 2, 4, 8, 16, 32, 797, 1594, 3188, 6376, 12752

Step-4: Factors of 25520

List of positive integer factors of 25520 that divides 25504 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 29, 40, 44, 55, 58, 80, 88, 110, 116, 145, 176, 220, 232, 290, 319, 440, 464, 580, 638, 880, 1160, 1276, 1595, 2320, 2552, 3190, 5104, 6380, 12760

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25504 and 25520. The biggest common factor number is the GCF number.
So the greatest common factor 25504 and 25520 is 16.

Also check out the Least Common Multiple of 25504 and 25520