What is the Greatest Common Factor of 20590 and 20605?

Greatest common factor (GCF) of 20590 and 20605 is 5.

GCF(20590,20605) = 5

We will now calculate the prime factors of 20590 and 20605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20590 and 20605.

How to find the GCF of 20590 and 20605?

We will first find the prime factorization of 20590 and 20605. After we will calculate the factors of 20590 and 20605 and find the biggest common factor number .

Step-1: Prime Factorization of 20590

Prime factors of 20590 are 2, 5, 29, 71. Prime factorization of 20590 in exponential form is:

20590 = 2¹ × 5¹ × 29¹ × 71¹

Step-2: Prime Factorization of 20605

Prime factors of 20605 are 5, 13, 317. Prime factorization of 20605 in exponential form is:

20605 = 5¹ × 13¹ × 317¹

Step-3: Factors of 20590

List of positive integer factors of 20590 that divides 20590 without a remainder.

1, 2, 5, 10, 29, 58, 71, 142, 145, 290, 355, 710, 2059, 4118, 10295

Step-4: Factors of 20605

List of positive integer factors of 20605 that divides 20590 without a remainder.

1, 5, 13, 65, 317, 1585, 4121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20590 and 20605. The biggest common factor number is the GCF number.
So the greatest common factor 20590 and 20605 is 5.

Also check out the Least Common Multiple of 20590 and 20605