What is the Greatest Common Factor of 30590 and 30609?

Greatest common factor (GCF) of 30590 and 30609 is 19.

GCF(30590,30609) = 19

We will now calculate the prime factors of 30590 and 30609, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30590 and 30609.

How to find the GCF of 30590 and 30609?

We will first find the prime factorization of 30590 and 30609. After we will calculate the factors of 30590 and 30609 and find the biggest common factor number .

Step-1: Prime Factorization of 30590

Prime factors of 30590 are 2, 5, 7, 19, 23. Prime factorization of 30590 in exponential form is:

30590 = 2¹ × 5¹ × 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 30609

Prime factors of 30609 are 3, 19, 179. Prime factorization of 30609 in exponential form is:

30609 = 3² × 19¹ × 179¹

Step-3: Factors of 30590

List of positive integer factors of 30590 that divides 30590 without a remainder.

1, 2, 5, 7, 10, 14, 19, 23, 35, 38, 46, 70, 95, 115, 133, 161, 190, 230, 266, 322, 437, 665, 805, 874, 1330, 1610, 2185, 3059, 4370, 6118, 15295

Step-4: Factors of 30609

List of positive integer factors of 30609 that divides 30590 without a remainder.

1, 3, 9, 19, 57, 171, 179, 537, 1611, 3401, 10203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30590 and 30609. The biggest common factor number is the GCF number.
So the greatest common factor 30590 and 30609 is 19.

Also check out the Least Common Multiple of 30590 and 30609