What is the Greatest Common Factor of 25310 and 25322?

Greatest common factor (GCF) of 25310 and 25322 is 2.

GCF(25310,25322) = 2

We will now calculate the prime factors of 25310 and 25322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25310 and 25322.

How to find the GCF of 25310 and 25322?

We will first find the prime factorization of 25310 and 25322. After we will calculate the factors of 25310 and 25322 and find the biggest common factor number .

Step-1: Prime Factorization of 25310

Prime factors of 25310 are 2, 5, 2531. Prime factorization of 25310 in exponential form is:

25310 = 2¹ × 5¹ × 2531¹

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 25310

List of positive integer factors of 25310 that divides 25310 without a remainder.

1, 2, 5, 10, 2531, 5062, 12655

Step-4: Factors of 25322

List of positive integer factors of 25322 that divides 25310 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25310 and 25322. The biggest common factor number is the GCF number.
So the greatest common factor 25310 and 25322 is 2.

Also check out the Least Common Multiple of 25310 and 25322