What is the Greatest Common Factor of 25498 and 25508?

Greatest common factor (GCF) of 25498 and 25508 is 2.

GCF(25498,25508) = 2

We will now calculate the prime factors of 25498 and 25508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25498 and 25508.

How to find the GCF of 25498 and 25508?

We will first find the prime factorization of 25498 and 25508. After we will calculate the factors of 25498 and 25508 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 25508

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

25508 = 2² × 7¹ × 911¹

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 25508

List of positive integer factors of 25508 that divides 25498 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25498 and 25508. The biggest common factor number is the GCF number.
So the greatest common factor 25498 and 25508 is 2.

Also check out the Least Common Multiple of 25498 and 25508