What is the Greatest Common Factor of 25300 and 25305?

Greatest common factor (GCF) of 25300 and 25305 is 5.

GCF(25300,25305) = 5

We will now calculate the prime factors of 25300 and 25305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25300 and 25305.

How to find the GCF of 25300 and 25305?

We will first find the prime factorization of 25300 and 25305. After we will calculate the factors of 25300 and 25305 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 25305

Prime factors of 25305 are 3, 5, 7, 241. Prime factorization of 25305 in exponential form is:

25305 = 3¹ × 5¹ × 7¹ × 241¹

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 25305

List of positive integer factors of 25305 that divides 25300 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 241, 723, 1205, 1687, 3615, 5061, 8435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25300 and 25305. The biggest common factor number is the GCF number.
So the greatest common factor 25300 and 25305 is 5.

Also check out the Least Common Multiple of 25300 and 25305