What is the Greatest Common Factor of 25498 and 25514?

Greatest common factor (GCF) of 25498 and 25514 is 2.

GCF(25498,25514) = 2

We will now calculate the prime factors of 25498 and 25514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25498 and 25514.

How to find the GCF of 25498 and 25514?

We will first find the prime factorization of 25498 and 25514. After we will calculate the factors of 25498 and 25514 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 25514

Prime factors of 25514 are 2, 12757. Prime factorization of 25514 in exponential form is:

25514 = 2¹ × 12757¹

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 25514

List of positive integer factors of 25514 that divides 25498 without a remainder.

1, 2, 12757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25498 and 25514. The biggest common factor number is the GCF number.
So the greatest common factor 25498 and 25514 is 2.

Also check out the Least Common Multiple of 25498 and 25514