What is the Greatest Common Factor of 25522 and 25538?

Greatest common factor (GCF) of 25522 and 25538 is 2.

GCF(25522,25538) = 2

We will now calculate the prime factors of 25522 and 25538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25522 and 25538.

How to find the GCF of 25522 and 25538?

We will first find the prime factorization of 25522 and 25538. After we will calculate the factors of 25522 and 25538 and find the biggest common factor number .

Step-1: Prime Factorization of 25522

Prime factors of 25522 are 2, 7, 1823. Prime factorization of 25522 in exponential form is:

25522 = 2¹ × 7¹ × 1823¹

Step-2: Prime Factorization of 25538

Prime factors of 25538 are 2, 113. Prime factorization of 25538 in exponential form is:

25538 = 2¹ × 113²

Step-3: Factors of 25522

List of positive integer factors of 25522 that divides 25522 without a remainder.

1, 2, 7, 14, 1823, 3646, 12761

Step-4: Factors of 25538

List of positive integer factors of 25538 that divides 25522 without a remainder.

1, 2, 113, 226, 12769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25522 and 25538. The biggest common factor number is the GCF number.
So the greatest common factor 25522 and 25538 is 2.

Also check out the Least Common Multiple of 25522 and 25538