What is the Greatest Common Factor of 25508 and 25516?

Greatest common factor (GCF) of 25508 and 25516 is 4.

GCF(25508,25516) = 4

We will now calculate the prime factors of 25508 and 25516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25508 and 25516.

How to find the GCF of 25508 and 25516?

We will first find the prime factorization of 25508 and 25516. After we will calculate the factors of 25508 and 25516 and find the biggest common factor number .

Step-1: Prime Factorization of 25508

Prime factors of 25508 are 2, 7, 911. Prime factorization of 25508 in exponential form is:

25508 = 2² × 7¹ × 911¹

Step-2: Prime Factorization of 25516

Prime factors of 25516 are 2, 6379. Prime factorization of 25516 in exponential form is:

25516 = 2² × 6379¹

Step-3: Factors of 25508

List of positive integer factors of 25508 that divides 25508 without a remainder.

1, 2, 4, 7, 14, 28, 911, 1822, 3644, 6377, 12754

Step-4: Factors of 25516

List of positive integer factors of 25516 that divides 25508 without a remainder.

1, 2, 4, 6379, 12758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25508 and 25516. The biggest common factor number is the GCF number.
So the greatest common factor 25508 and 25516 is 4.

Also check out the Least Common Multiple of 25508 and 25516