What is the Greatest Common Factor of 25305 and 25322?

Greatest common factor (GCF) of 25305 and 25322 is 1.

GCF(25305,25322) = 1

We will now calculate the prime factors of 25305 and 25322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25305 and 25322.

How to find the GCF of 25305 and 25322?

We will first find the prime factorization of 25305 and 25322. After we will calculate the factors of 25305 and 25322 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25322

Prime factors of 25322 are 2, 11, 1151. Prime factorization of 25322 in exponential form is:

25322 = 2¹ × 11¹ × 1151¹

Step-3: Factors of 25305

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

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

Step-4: Factors of 25322

List of positive integer factors of 25322 that divides 25305 without a remainder.

1, 2, 11, 22, 1151, 2302, 12661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25305 and 25322. The biggest common factor number is the GCF number.
So the greatest common factor 25305 and 25322 is 1.

Also check out the Least Common Multiple of 25305 and 25322