What is the Greatest Common Factor of 30590 and 30595?

Greatest common factor (GCF) of 30590 and 30595 is 5.

GCF(30590,30595) = 5

We will now calculate the prime factors of 30590 and 30595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30590 and 30595.

How to find the GCF of 30590 and 30595?

We will first find the prime factorization of 30590 and 30595. After we will calculate the factors of 30590 and 30595 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 30595

Prime factors of 30595 are 5, 29, 211. Prime factorization of 30595 in exponential form is:

30595 = 5¹ × 29¹ × 211¹

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 30595

List of positive integer factors of 30595 that divides 30590 without a remainder.

1, 5, 29, 145, 211, 1055, 6119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30590 and 30595. The biggest common factor number is the GCF number.
So the greatest common factor 30590 and 30595 is 5.

Also check out the Least Common Multiple of 30590 and 30595