What is the Greatest Common Factor of 25300 and 25306?

Greatest common factor (GCF) of 25300 and 25306 is 2.

GCF(25300,25306) = 2

We will now calculate the prime factors of 25300 and 25306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25300 and 25306.

How to find the GCF of 25300 and 25306?

We will first find the prime factorization of 25300 and 25306. After we will calculate the factors of 25300 and 25306 and find the biggest common factor number .

Step-1: Prime Factorization of 25300

Prime factors of 25300 are 2, 5, 11, 23. Prime factorization of 25300 in exponential form is:

25300 = 2² × 5² × 11¹ × 23¹

Step-2: Prime Factorization of 25306

Prime factors of 25306 are 2, 12653. Prime factorization of 25306 in exponential form is:

25306 = 2¹ × 12653¹

Step-3: Factors of 25300

List of positive integer factors of 25300 that divides 25300 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 23, 25, 44, 46, 50, 55, 92, 100, 110, 115, 220, 230, 253, 275, 460, 506, 550, 575, 1012, 1100, 1150, 1265, 2300, 2530, 5060, 6325, 12650

Step-4: Factors of 25306

List of positive integer factors of 25306 that divides 25300 without a remainder.

1, 2, 12653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25300 and 25306. The biggest common factor number is the GCF number.
So the greatest common factor 25300 and 25306 is 2.

Also check out the Least Common Multiple of 25300 and 25306