What is the Greatest Common Factor of 19480 and 19498?

Greatest common factor (GCF) of 19480 and 19498 is 2.

GCF(19480,19498) = 2

We will now calculate the prime factors of 19480 and 19498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19480 and 19498.

How to find the GCF of 19480 and 19498?

We will first find the prime factorization of 19480 and 19498. After we will calculate the factors of 19480 and 19498 and find the biggest common factor number .

Step-1: Prime Factorization of 19480

Prime factors of 19480 are 2, 5, 487. Prime factorization of 19480 in exponential form is:

19480 = 2³ × 5¹ × 487¹

Step-2: Prime Factorization of 19498

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

19498 = 2¹ × 9749¹

Step-3: Factors of 19480

List of positive integer factors of 19480 that divides 19480 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 487, 974, 1948, 2435, 3896, 4870, 9740

Step-4: Factors of 19498

List of positive integer factors of 19498 that divides 19480 without a remainder.

1, 2, 9749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19480 and 19498. The biggest common factor number is the GCF number.
So the greatest common factor 19480 and 19498 is 2.

Also check out the Least Common Multiple of 19480 and 19498