What is the Greatest Common Factor of 25487 and 25498?

Greatest common factor (GCF) of 25487 and 25498 is 11.

GCF(25487,25498) = 11

We will now calculate the prime factors of 25487 and 25498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25487 and 25498.

How to find the GCF of 25487 and 25498?

We will first find the prime factorization of 25487 and 25498. After we will calculate the factors of 25487 and 25498 and find the biggest common factor number .

Step-1: Prime Factorization of 25487

Prime factors of 25487 are 7, 11, 331. Prime factorization of 25487 in exponential form is:

25487 = 7¹ × 11¹ × 331¹

Step-2: 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-3: Factors of 25487

List of positive integer factors of 25487 that divides 25487 without a remainder.

1, 7, 11, 77, 331, 2317, 3641

Step-4: Factors of 25498

List of positive integer factors of 25498 that divides 25487 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25487 and 25498. The biggest common factor number is the GCF number.
So the greatest common factor 25487 and 25498 is 11.

Also check out the Least Common Multiple of 25487 and 25498