What is the Greatest Common Factor of 20585 and 20596?

Greatest common factor (GCF) of 20585 and 20596 is 1.

GCF(20585,20596) = 1

We will now calculate the prime factors of 20585 and 20596, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20585 and 20596.

How to find the GCF of 20585 and 20596?

We will first find the prime factorization of 20585 and 20596. After we will calculate the factors of 20585 and 20596 and find the biggest common factor number .

Step-1: Prime Factorization of 20585

Prime factors of 20585 are 5, 23, 179. Prime factorization of 20585 in exponential form is:

20585 = 5¹ × 23¹ × 179¹

Step-2: Prime Factorization of 20596

Prime factors of 20596 are 2, 19, 271. Prime factorization of 20596 in exponential form is:

20596 = 2² × 19¹ × 271¹

Step-3: Factors of 20585

List of positive integer factors of 20585 that divides 20585 without a remainder.

1, 5, 23, 115, 179, 895, 4117

Step-4: Factors of 20596

List of positive integer factors of 20596 that divides 20585 without a remainder.

1, 2, 4, 19, 38, 76, 271, 542, 1084, 5149, 10298

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20585 and 20596. The biggest common factor number is the GCF number.
So the greatest common factor 20585 and 20596 is 1.

Also check out the Least Common Multiple of 20585 and 20596