What is the Greatest Common Factor of 25406 and 25422?

Greatest common factor (GCF) of 25406 and 25422 is 2.

GCF(25406,25422) = 2

We will now calculate the prime factors of 25406 and 25422, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25406 and 25422.

How to find the GCF of 25406 and 25422?

We will first find the prime factorization of 25406 and 25422. After we will calculate the factors of 25406 and 25422 and find the biggest common factor number .

Step-1: Prime Factorization of 25406

Prime factors of 25406 are 2, 12703. Prime factorization of 25406 in exponential form is:

25406 = 2¹ × 12703¹

Step-2: Prime Factorization of 25422

Prime factors of 25422 are 2, 3, 19, 223. Prime factorization of 25422 in exponential form is:

25422 = 2¹ × 3¹ × 19¹ × 223¹

Step-3: Factors of 25406

List of positive integer factors of 25406 that divides 25406 without a remainder.

1, 2, 12703

Step-4: Factors of 25422

List of positive integer factors of 25422 that divides 25406 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 223, 446, 669, 1338, 4237, 8474, 12711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25406 and 25422. The biggest common factor number is the GCF number.
So the greatest common factor 25406 and 25422 is 2.

Also check out the Least Common Multiple of 25406 and 25422