What is the Greatest Common Factor of 19498 and 19502?

Greatest common factor (GCF) of 19498 and 19502 is 2.

GCF(19498,19502) = 2

We will now calculate the prime factors of 19498 and 19502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19498 and 19502.

How to find the GCF of 19498 and 19502?

We will first find the prime factorization of 19498 and 19502. After we will calculate the factors of 19498 and 19502 and find the biggest common factor number .

Step-1: Prime Factorization of 19498

Prime factors of 19498 are 2, 9749. Prime factorization of 19498 in exponential form is:

19498 = 2¹ × 9749¹

Step-2: Prime Factorization of 19502

Prime factors of 19502 are 2, 7, 199. Prime factorization of 19502 in exponential form is:

19502 = 2¹ × 7² × 199¹

Step-3: Factors of 19498

List of positive integer factors of 19498 that divides 19498 without a remainder.

1, 2, 9749

Step-4: Factors of 19502

List of positive integer factors of 19502 that divides 19498 without a remainder.

1, 2, 7, 14, 49, 98, 199, 398, 1393, 2786, 9751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19498 and 19502. The biggest common factor number is the GCF number.
So the greatest common factor 19498 and 19502 is 2.

Also check out the Least Common Multiple of 19498 and 19502