What is the Greatest Common Factor of 25288 and 25296?

Greatest common factor (GCF) of 25288 and 25296 is 8.

GCF(25288,25296) = 8

We will now calculate the prime factors of 25288 and 25296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25288 and 25296.

How to find the GCF of 25288 and 25296?

We will first find the prime factorization of 25288 and 25296. After we will calculate the factors of 25288 and 25296 and find the biggest common factor number .

Step-1: Prime Factorization of 25288

Prime factors of 25288 are 2, 29, 109. Prime factorization of 25288 in exponential form is:

25288 = 2³ × 29¹ × 109¹

Step-2: Prime Factorization of 25296

Prime factors of 25296 are 2, 3, 17, 31. Prime factorization of 25296 in exponential form is:

25296 = 2⁴ × 3¹ × 17¹ × 31¹

Step-3: Factors of 25288

List of positive integer factors of 25288 that divides 25288 without a remainder.

1, 2, 4, 8, 29, 58, 109, 116, 218, 232, 436, 872, 3161, 6322, 12644

Step-4: Factors of 25296

List of positive integer factors of 25296 that divides 25288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 31, 34, 48, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 272, 372, 408, 496, 527, 744, 816, 1054, 1488, 1581, 2108, 3162, 4216, 6324, 8432, 12648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25288 and 25296. The biggest common factor number is the GCF number.
So the greatest common factor 25288 and 25296 is 8.

Also check out the Least Common Multiple of 25288 and 25296