What is the Greatest Common Factor of 25288 and 25302?

Greatest common factor (GCF) of 25288 and 25302 is 2.

GCF(25288,25302) = 2

We will now calculate the prime factors of 25288 and 25302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25288 and 25302.

How to find the GCF of 25288 and 25302?

We will first find the prime factorization of 25288 and 25302. After we will calculate the factors of 25288 and 25302 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 25302

Prime factors of 25302 are 2, 3, 4217. Prime factorization of 25302 in exponential form is:

25302 = 2¹ × 3¹ × 4217¹

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 25302

List of positive integer factors of 25302 that divides 25288 without a remainder.

1, 2, 3, 6, 4217, 8434, 12651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25288 and 25302. The biggest common factor number is the GCF number.
So the greatest common factor 25288 and 25302 is 2.

Also check out the Least Common Multiple of 25288 and 25302