What is the Greatest Common Factor of 25300 and 25304?

Greatest common factor (GCF) of 25300 and 25304 is 4.

GCF(25300,25304) = 4

We will now calculate the prime factors of 25300 and 25304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25300 and 25304.

How to find the GCF of 25300 and 25304?

We will first find the prime factorization of 25300 and 25304. After we will calculate the factors of 25300 and 25304 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 25304

Prime factors of 25304 are 2, 3163. Prime factorization of 25304 in exponential form is:

25304 = 2³ × 3163¹

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 25304

List of positive integer factors of 25304 that divides 25300 without a remainder.

1, 2, 4, 8, 3163, 6326, 12652

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25300 and 25304. The biggest common factor number is the GCF number.
So the greatest common factor 25300 and 25304 is 4.

Also check out the Least Common Multiple of 25300 and 25304