What is the Greatest Common Factor of 30498 and 30507?

Greatest common factor (GCF) of 30498 and 30507 is 3.

GCF(30498,30507) = 3

We will now calculate the prime factors of 30498 and 30507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30498 and 30507.

How to find the GCF of 30498 and 30507?

We will first find the prime factorization of 30498 and 30507. After we will calculate the factors of 30498 and 30507 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 30507

Prime factors of 30507 are 3, 10169. Prime factorization of 30507 in exponential form is:

30507 = 3¹ × 10169¹

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 30507

List of positive integer factors of 30507 that divides 30498 without a remainder.

1, 3, 10169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30498 and 30507. The biggest common factor number is the GCF number.
So the greatest common factor 30498 and 30507 is 3.

Also check out the Least Common Multiple of 30498 and 30507