What is the Greatest Common Factor of 25288 and 25301?

Greatest common factor (GCF) of 25288 and 25301 is 1.

GCF(25288,25301) = 1

We will now calculate the prime factors of 25288 and 25301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25288 and 25301.

How to find the GCF of 25288 and 25301?

We will first find the prime factorization of 25288 and 25301. After we will calculate the factors of 25288 and 25301 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 25301

Prime factors of 25301 are 25301. Prime factorization of 25301 in exponential form is:

25301 = 25301¹

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 25301

List of positive integer factors of 25301 that divides 25288 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25288 and 25301. The biggest common factor number is the GCF number.
So the greatest common factor 25288 and 25301 is 1.

Also check out the Least Common Multiple of 25288 and 25301