What is the Greatest Common Factor of 30590 and 30605?

Greatest common factor (GCF) of 30590 and 30605 is 5.

GCF(30590,30605) = 5

We will now calculate the prime factors of 30590 and 30605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30590 and 30605.

How to find the GCF of 30590 and 30605?

We will first find the prime factorization of 30590 and 30605. After we will calculate the factors of 30590 and 30605 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 30605

Prime factors of 30605 are 5, 6121. Prime factorization of 30605 in exponential form is:

30605 = 5¹ × 6121¹

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 30605

List of positive integer factors of 30605 that divides 30590 without a remainder.

1, 5, 6121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30590 and 30605. The biggest common factor number is the GCF number.
So the greatest common factor 30590 and 30605 is 5.

Also check out the Least Common Multiple of 30590 and 30605