What is the Greatest Common Factor of 25498 and 25516?

Greatest common factor (GCF) of 25498 and 25516 is 2.

GCF(25498,25516) = 2

We will now calculate the prime factors of 25498 and 25516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25498 and 25516.

How to find the GCF of 25498 and 25516?

We will first find the prime factorization of 25498 and 25516. After we will calculate the factors of 25498 and 25516 and find the biggest common factor number .

Step-1: Prime Factorization of 25498

Prime factors of 25498 are 2, 11, 19, 61. Prime factorization of 25498 in exponential form is:

25498 = 2¹ × 11¹ × 19¹ × 61¹

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 25498

List of positive integer factors of 25498 that divides 25498 without a remainder.

1, 2, 11, 19, 22, 38, 61, 122, 209, 418, 671, 1159, 1342, 2318, 12749

Step-4: Factors of 25516

List of positive integer factors of 25516 that divides 25498 without a remainder.

1, 2, 4, 6379, 12758

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25498 and 25516. The biggest common factor number is the GCF number.
So the greatest common factor 25498 and 25516 is 2.

Also check out the Least Common Multiple of 25498 and 25516