What is the Greatest Common Factor of 30498 and 30517?

Greatest common factor (GCF) of 30498 and 30517 is 1.

GCF(30498,30517) = 1

We will now calculate the prime factors of 30498 and 30517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30498 and 30517.

How to find the GCF of 30498 and 30517?

We will first find the prime factorization of 30498 and 30517. After we will calculate the factors of 30498 and 30517 and find the biggest common factor number .

Step-1: Prime Factorization of 30498

Prime factors of 30498 are 2, 3, 13, 17, 23. Prime factorization of 30498 in exponential form is:

30498 = 2¹ × 3¹ × 13¹ × 17¹ × 23¹

Step-2: Prime Factorization of 30517

Prime factors of 30517 are 30517. Prime factorization of 30517 in exponential form is:

30517 = 30517¹

Step-3: Factors of 30498

List of positive integer factors of 30498 that divides 30498 without a remainder.

1, 2, 3, 6, 13, 17, 23, 26, 34, 39, 46, 51, 69, 78, 102, 138, 221, 299, 391, 442, 598, 663, 782, 897, 1173, 1326, 1794, 2346, 5083, 10166, 15249

Step-4: Factors of 30517

List of positive integer factors of 30517 that divides 30498 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30498 and 30517. The biggest common factor number is the GCF number.
So the greatest common factor 30498 and 30517 is 1.

Also check out the Least Common Multiple of 30498 and 30517