What is the Greatest Common Factor of 25522 and 25540?

Greatest common factor (GCF) of 25522 and 25540 is 2.

GCF(25522,25540) = 2

We will now calculate the prime factors of 25522 and 25540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25522 and 25540.

How to find the GCF of 25522 and 25540?

We will first find the prime factorization of 25522 and 25540. After we will calculate the factors of 25522 and 25540 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 25540

Prime factors of 25540 are 2, 5, 1277. Prime factorization of 25540 in exponential form is:

25540 = 2² × 5¹ × 1277¹

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 25540

List of positive integer factors of 25540 that divides 25522 without a remainder.

1, 2, 4, 5, 10, 20, 1277, 2554, 5108, 6385, 12770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25522 and 25540. The biggest common factor number is the GCF number.
So the greatest common factor 25522 and 25540 is 2.

Also check out the Least Common Multiple of 25522 and 25540