What is the Greatest Common Factor of 30590 and 30604?

Greatest common factor (GCF) of 30590 and 30604 is 14.

GCF(30590,30604) = 14

We will now calculate the prime factors of 30590 and 30604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30590 and 30604.

How to find the GCF of 30590 and 30604?

We will first find the prime factorization of 30590 and 30604. After we will calculate the factors of 30590 and 30604 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 30604

Prime factors of 30604 are 2, 7, 1093. Prime factorization of 30604 in exponential form is:

30604 = 2² × 7¹ × 1093¹

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 30604

List of positive integer factors of 30604 that divides 30590 without a remainder.

1, 2, 4, 7, 14, 28, 1093, 2186, 4372, 7651, 15302

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30590 and 30604. The biggest common factor number is the GCF number.
So the greatest common factor 30590 and 30604 is 14.

Also check out the Least Common Multiple of 30590 and 30604